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Finding the Fourth Proportional to 2,434.59, 3,653.65 and 974.15

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Solution

The fourth proportional to 2,434.59, 3,653.65 and 974.15 is: 1,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.59 : 3,653.65 = 974.15 : x
  2. Step 2: Convert to fraction form
    2,434.59/3,653.65 = 974.15/x
  3. Step 3: Cross multiply
    2,434.59x = 3,653.65 × 974.15
  4. Step 4: Simplify right side
    2,434.59x = 3,559,198.28
  5. Step 5: Solve for x
    x = 3,559,198.28/2,434.59
  6. Step 6: Final answer
    x = 1,461.93

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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.