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Finding the Fourth Proportional to 2,341.76, 3,513.52 and 956.16

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Solution

The fourth proportional to 2,341.76, 3,513.52 and 956.16 is: 1,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.76 : 3,513.52 = 956.16 : x
  2. Step 2: Convert to fraction form
    2,341.76/3,513.52 = 956.16/x
  3. Step 3: Cross multiply
    2,341.76x = 3,513.52 × 956.16
  4. Step 4: Simplify right side
    2,341.76x = 3,359,487.28
  5. Step 5: Solve for x
    x = 3,359,487.28/2,341.76
  6. Step 6: Final answer
    x = 1,434.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.