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Finding the Fourth Proportional to 1,522.47, 2,281.88 and 699.61

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Solution

The fourth proportional to 1,522.47, 2,281.88 and 699.61 is: 1,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.47 : 2,281.88 = 699.61 : x
  2. Step 2: Convert to fraction form
    1,522.47/2,281.88 = 699.61/x
  3. Step 3: Cross multiply
    1,522.47x = 2,281.88 × 699.61
  4. Step 4: Simplify right side
    1,522.47x = 1,596,426.07
  5. Step 5: Solve for x
    x = 1,596,426.07/1,522.47
  6. Step 6: Final answer
    x = 1,048.58

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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.