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Finding the Fourth Proportional to 1,707.12, 2,354.84 and 1,077.42

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Solution

The fourth proportional to 1,707.12, 2,354.84 and 1,077.42 is: 1,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.12 : 2,354.84 = 1,077.42 : x
  2. Step 2: Convert to fraction form
    1,707.12/2,354.84 = 1,077.42/x
  3. Step 3: Cross multiply
    1,707.12x = 2,354.84 × 1,077.42
  4. Step 4: Simplify right side
    1,707.12x = 2,537,150.37
  5. Step 5: Solve for x
    x = 2,537,150.37/1,707.12
  6. Step 6: Final answer
    x = 1,486.22

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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.