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Finding the Fourth Proportional to 1,575.95, 2,175.18 and 913.17

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Solution

The fourth proportional to 1,575.95, 2,175.18 and 913.17 is: 1,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.95 : 2,175.18 = 913.17 : x
  2. Step 2: Convert to fraction form
    1,575.95/2,175.18 = 913.17/x
  3. Step 3: Cross multiply
    1,575.95x = 2,175.18 × 913.17
  4. Step 4: Simplify right side
    1,575.95x = 1,986,309.12
  5. Step 5: Solve for x
    x = 1,986,309.12/1,575.95
  6. Step 6: Final answer
    x = 1,260.39

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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.