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Finding the Fourth Proportional to 1,582.80, 2,184.26 and 884.17

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Solution

The fourth proportional to 1,582.80, 2,184.26 and 884.17 is: 1,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.80 : 2,184.26 = 884.17 : x
  2. Step 2: Convert to fraction form
    1,582.80/2,184.26 = 884.17/x
  3. Step 3: Cross multiply
    1,582.80x = 2,184.26 × 884.17
  4. Step 4: Simplify right side
    1,582.80x = 1,931,257.16
  5. Step 5: Solve for x
    x = 1,931,257.16/1,582.80
  6. Step 6: Final answer
    x = 1,220.15

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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.