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Finding the Fourth Proportional to 2,864.95, 4,297.58 and 916.70

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Solution

The fourth proportional to 2,864.95, 4,297.58 and 916.70 is: 1,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.95 : 4,297.58 = 916.70 : x
  2. Step 2: Convert to fraction form
    2,864.95/4,297.58 = 916.70/x
  3. Step 3: Cross multiply
    2,864.95x = 4,297.58 × 916.70
  4. Step 4: Simplify right side
    2,864.95x = 3,939,591.59
  5. Step 5: Solve for x
    x = 3,939,591.59/2,864.95
  6. Step 6: Final answer
    x = 1,375.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.