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Finding the Fourth Proportional to 1,932.58, 2,666.55 and 1,146.88

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Solution

The fourth proportional to 1,932.58, 2,666.55 and 1,146.88 is: 1,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.58 : 2,666.55 = 1,146.88 : x
  2. Step 2: Convert to fraction form
    1,932.58/2,666.55 = 1,146.88/x
  3. Step 3: Cross multiply
    1,932.58x = 2,666.55 × 1,146.88
  4. Step 4: Simplify right side
    1,932.58x = 3,058,212.86
  5. Step 5: Solve for x
    x = 3,058,212.86/1,932.58
  6. Step 6: Final answer
    x = 1,582.45

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