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Finding the Fourth Proportional to 2,454.21, 3,681.72 and 972.99

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Solution

The fourth proportional to 2,454.21, 3,681.72 and 972.99 is: 1,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.21 : 3,681.72 = 972.99 : x
  2. Step 2: Convert to fraction form
    2,454.21/3,681.72 = 972.99/x
  3. Step 3: Cross multiply
    2,454.21x = 3,681.72 × 972.99
  4. Step 4: Simplify right side
    2,454.21x = 3,582,276.74
  5. Step 5: Solve for x
    x = 3,582,276.74/2,454.21
  6. Step 6: Final answer
    x = 1,459.65

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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.