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Finding the Fourth Proportional to 3,140.16, 4,709.28 and 948.96

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Solution

The fourth proportional to 3,140.16, 4,709.28 and 948.96 is: 1,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.16 : 4,709.28 = 948.96 : x
  2. Step 2: Convert to fraction form
    3,140.16/4,709.28 = 948.96/x
  3. Step 3: Cross multiply
    3,140.16x = 4,709.28 × 948.96
  4. Step 4: Simplify right side
    3,140.16x = 4,468,918.35
  5. Step 5: Solve for x
    x = 4,468,918.35/3,140.16
  6. Step 6: Final answer
    x = 1,423.15

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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.