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Finding the Fourth Proportional to 2,920.95, 4,381.86 and 972.69

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Solution

The fourth proportional to 2,920.95, 4,381.86 and 972.69 is: 1,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.95 : 4,381.86 = 972.69 : x
  2. Step 2: Convert to fraction form
    2,920.95/4,381.86 = 972.69/x
  3. Step 3: Cross multiply
    2,920.95x = 4,381.86 × 972.69
  4. Step 4: Simplify right side
    2,920.95x = 4,262,191.40
  5. Step 5: Solve for x
    x = 4,262,191.40/2,920.95
  6. Step 6: Final answer
    x = 1,459.18

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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.