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Finding the Fourth Proportional to 2,560.87, 3,840.36 and 916.98

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Solution

The fourth proportional to 2,560.87, 3,840.36 and 916.98 is: 1,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.87 : 3,840.36 = 916.98 : x
  2. Step 2: Convert to fraction form
    2,560.87/3,840.36 = 916.98/x
  3. Step 3: Cross multiply
    2,560.87x = 3,840.36 × 916.98
  4. Step 4: Simplify right side
    2,560.87x = 3,521,533.31
  5. Step 5: Solve for x
    x = 3,521,533.31/2,560.87
  6. Step 6: Final answer
    x = 1,375.13

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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.