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Finding the Fourth Proportional to 1,693.51, 2,337.14 and 947.42

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Solution

The fourth proportional to 1,693.51, 2,337.14 and 947.42 is: 1,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.51 : 2,337.14 = 947.42 : x
  2. Step 2: Convert to fraction form
    1,693.51/2,337.14 = 947.42/x
  3. Step 3: Cross multiply
    1,693.51x = 2,337.14 × 947.42
  4. Step 4: Simplify right side
    1,693.51x = 2,214,259.33
  5. Step 5: Solve for x
    x = 2,214,259.33/1,693.51
  6. Step 6: Final answer
    x = 1,307.50

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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.