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Finding the Fourth Proportional to 2,737.00, 4,106.51 and 1,566.28

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Solution

The fourth proportional to 2,737.00, 4,106.51 and 1,566.28 is: 2,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.00 : 4,106.51 = 1,566.28 : x
  2. Step 2: Convert to fraction form
    2,737.00/4,106.51 = 1,566.28/x
  3. Step 3: Cross multiply
    2,737.00x = 4,106.51 × 1,566.28
  4. Step 4: Simplify right side
    2,737.00x = 6,431,916.12
  5. Step 5: Solve for x
    x = 6,431,916.12/2,737.00
  6. Step 6: Final answer
    x = 2,349.99

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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.