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Finding the Fourth Proportional to 1,402.34, 1,934.16 and 1,071.86

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Solution

The fourth proportional to 1,402.34, 1,934.16 and 1,071.86 is: 1,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.34 : 1,934.16 = 1,071.86 : x
  2. Step 2: Convert to fraction form
    1,402.34/1,934.16 = 1,071.86/x
  3. Step 3: Cross multiply
    1,402.34x = 1,934.16 × 1,071.86
  4. Step 4: Simplify right side
    1,402.34x = 2,073,148.74
  5. Step 5: Solve for x
    x = 2,073,148.74/1,402.34
  6. Step 6: Final answer
    x = 1,478.35

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