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Finding the Fourth Proportional to 1,534.77, 2,117.20 and 1,003.96

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Solution

The fourth proportional to 1,534.77, 2,117.20 and 1,003.96 is: 1,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.77 : 2,117.20 = 1,003.96 : x
  2. Step 2: Convert to fraction form
    1,534.77/2,117.20 = 1,003.96/x
  3. Step 3: Cross multiply
    1,534.77x = 2,117.20 × 1,003.96
  4. Step 4: Simplify right side
    1,534.77x = 2,125,584.11
  5. Step 5: Solve for x
    x = 2,125,584.11/1,534.77
  6. Step 6: Final answer
    x = 1,384.95

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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.