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Finding the Fourth Proportional to 2,864.59, 4,296.81 and 916.77

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Solution

The fourth proportional to 2,864.59, 4,296.81 and 916.77 is: 1,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.59 : 4,296.81 = 916.77 : x
  2. Step 2: Convert to fraction form
    2,864.59/4,296.81 = 916.77/x
  3. Step 3: Cross multiply
    2,864.59x = 4,296.81 × 916.77
  4. Step 4: Simplify right side
    2,864.59x = 3,939,175.76
  5. Step 5: Solve for x
    x = 3,939,175.76/2,864.59
  6. Step 6: Final answer
    x = 1,375.13

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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.