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Finding the Fourth Proportional to 1,782.90, 2,458.17 and 1,557.90

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Solution

The fourth proportional to 1,782.90, 2,458.17 and 1,557.90 is: 2,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.90 : 2,458.17 = 1,557.90 : x
  2. Step 2: Convert to fraction form
    1,782.90/2,458.17 = 1,557.90/x
  3. Step 3: Cross multiply
    1,782.90x = 2,458.17 × 1,557.90
  4. Step 4: Simplify right side
    1,782.90x = 3,829,583.04
  5. Step 5: Solve for x
    x = 3,829,583.04/1,782.90
  6. Step 6: Final answer
    x = 2,147.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.