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Finding the Fourth Proportional to 3,154.64, 4,732.10 and 933.48

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Solution

The fourth proportional to 3,154.64, 4,732.10 and 933.48 is: 1,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.64 : 4,732.10 = 933.48 : x
  2. Step 2: Convert to fraction form
    3,154.64/4,732.10 = 933.48/x
  3. Step 3: Cross multiply
    3,154.64x = 4,732.10 × 933.48
  4. Step 4: Simplify right side
    3,154.64x = 4,417,316.04
  5. Step 5: Solve for x
    x = 4,417,316.04/3,154.64
  6. Step 6: Final answer
    x = 1,400.26

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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.