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Finding the Fourth Proportional to 1,569.52, 2,352.66 and 1,022.77

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Solution

The fourth proportional to 1,569.52, 2,352.66 and 1,022.77 is: 1,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.52 : 2,352.66 = 1,022.77 : x
  2. Step 2: Convert to fraction form
    1,569.52/2,352.66 = 1,022.77/x
  3. Step 3: Cross multiply
    1,569.52x = 2,352.66 × 1,022.77
  4. Step 4: Simplify right side
    1,569.52x = 2,406,230.07
  5. Step 5: Solve for x
    x = 2,406,230.07/1,569.52
  6. Step 6: Final answer
    x = 1,533.10

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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.