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Finding the Fourth Proportional to 1,703.34, 2,349.14 and 1,114.07

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Solution

The fourth proportional to 1,703.34, 2,349.14 and 1,114.07 is: 1,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.34 : 2,349.14 = 1,114.07 : x
  2. Step 2: Convert to fraction form
    1,703.34/2,349.14 = 1,114.07/x
  3. Step 3: Cross multiply
    1,703.34x = 2,349.14 × 1,114.07
  4. Step 4: Simplify right side
    1,703.34x = 2,617,089.08
  5. Step 5: Solve for x
    x = 2,617,089.08/1,703.34
  6. Step 6: Final answer
    x = 1,536.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.