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Finding the Fourth Proportional to 1,781.68, 2,458.11 and 1,153.00

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Solution

The fourth proportional to 1,781.68, 2,458.11 and 1,153.00 is: 1,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.68 : 2,458.11 = 1,153.00 : x
  2. Step 2: Convert to fraction form
    1,781.68/2,458.11 = 1,153.00/x
  3. Step 3: Cross multiply
    1,781.68x = 2,458.11 × 1,153.00
  4. Step 4: Simplify right side
    1,781.68x = 2,834,204.77
  5. Step 5: Solve for x
    x = 2,834,204.77/1,781.68
  6. Step 6: Final answer
    x = 1,590.75

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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.