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Finding the Fourth Proportional to 1,718.07, 2,575.89 and 1,066.83

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Solution

The fourth proportional to 1,718.07, 2,575.89 and 1,066.83 is: 1,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.07 : 2,575.89 = 1,066.83 : x
  2. Step 2: Convert to fraction form
    1,718.07/2,575.89 = 1,066.83/x
  3. Step 3: Cross multiply
    1,718.07x = 2,575.89 × 1,066.83
  4. Step 4: Simplify right side
    1,718.07x = 2,748,036.73
  5. Step 5: Solve for x
    x = 2,748,036.73/1,718.07
  6. Step 6: Final answer
    x = 1,599.49

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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.