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Finding the Fourth Proportional to 2,437.27, 3,655.91 and 975.40

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Solution

The fourth proportional to 2,437.27, 3,655.91 and 975.40 is: 1,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.27 : 3,655.91 = 975.40 : x
  2. Step 2: Convert to fraction form
    2,437.27/3,655.91 = 975.40/x
  3. Step 3: Cross multiply
    2,437.27x = 3,655.91 × 975.40
  4. Step 4: Simplify right side
    2,437.27x = 3,565,969.74
  5. Step 5: Solve for x
    x = 3,565,969.74/2,437.27
  6. Step 6: Final answer
    x = 1,463.10

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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.