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Finding the Fourth Proportional to 3,140.04, 4,710.82 and 948.64

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Solution

The fourth proportional to 3,140.04, 4,710.82 and 948.64 is: 1,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.04 : 4,710.82 = 948.64 : x
  2. Step 2: Convert to fraction form
    3,140.04/4,710.82 = 948.64/x
  3. Step 3: Cross multiply
    3,140.04x = 4,710.82 × 948.64
  4. Step 4: Simplify right side
    3,140.04x = 4,468,872.28
  5. Step 5: Solve for x
    x = 4,468,872.28/3,140.04
  6. Step 6: Final answer
    x = 1,423.19

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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.