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Finding the Fourth Proportional to 2,425.40, 3,637.86 and 964.16

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Solution

The fourth proportional to 2,425.40, 3,637.86 and 964.16 is: 1,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.40 : 3,637.86 = 964.16 : x
  2. Step 2: Convert to fraction form
    2,425.40/3,637.86 = 964.16/x
  3. Step 3: Cross multiply
    2,425.40x = 3,637.86 × 964.16
  4. Step 4: Simplify right side
    2,425.40x = 3,507,479.10
  5. Step 5: Solve for x
    x = 3,507,479.10/2,425.40
  6. Step 6: Final answer
    x = 1,446.14

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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.