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Finding the Fourth Proportional to 2,437.16, 3,655.20 and 976.64

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Solution

The fourth proportional to 2,437.16, 3,655.20 and 976.64 is: 1,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.16 : 3,655.20 = 976.64 : x
  2. Step 2: Convert to fraction form
    2,437.16/3,655.20 = 976.64/x
  3. Step 3: Cross multiply
    2,437.16x = 3,655.20 × 976.64
  4. Step 4: Simplify right side
    2,437.16x = 3,569,814.53
  5. Step 5: Solve for x
    x = 3,569,814.53/2,437.16
  6. Step 6: Final answer
    x = 1,464.74

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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.