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Finding the Fourth Proportional to 1,569.60, 2,171.21 and 1,463.22

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Solution

The fourth proportional to 1,569.60, 2,171.21 and 1,463.22 is: 2,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.60 : 2,171.21 = 1,463.22 : x
  2. Step 2: Convert to fraction form
    1,569.60/2,171.21 = 1,463.22/x
  3. Step 3: Cross multiply
    1,569.60x = 2,171.21 × 1,463.22
  4. Step 4: Simplify right side
    1,569.60x = 3,176,950.58
  5. Step 5: Solve for x
    x = 3,176,950.58/1,569.60
  6. Step 6: Final answer
    x = 2,024.05

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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.