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Finding the Fourth Proportional to 1,656.18, 2,484.84 and 1,039.17

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Solution

The fourth proportional to 1,656.18, 2,484.84 and 1,039.17 is: 1,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.18 : 2,484.84 = 1,039.17 : x
  2. Step 2: Convert to fraction form
    1,656.18/2,484.84 = 1,039.17/x
  3. Step 3: Cross multiply
    1,656.18x = 2,484.84 × 1,039.17
  4. Step 4: Simplify right side
    1,656.18x = 2,582,171.18
  5. Step 5: Solve for x
    x = 2,582,171.18/1,656.18
  6. Step 6: Final answer
    x = 1,559.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.