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Finding the Fourth Proportional to 2,574.40, 3,862.64 and 1,651

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Solution

The fourth proportional to 2,574.40, 3,862.64 and 1,651 is: 2,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.40 : 3,862.64 = 1,651 : x
  2. Step 2: Convert to fraction form
    2,574.40/3,862.64 = 1,651/x
  3. Step 3: Cross multiply
    2,574.40x = 3,862.64 × 1,651
  4. Step 4: Simplify right side
    2,574.40x = 6,377,218.64
  5. Step 5: Solve for x
    x = 6,377,218.64/2,574.40
  6. Step 6: Final answer
    x = 2,477.17

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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.