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Finding the Fourth Proportional to 2,390.77, 3,583.54 and 1,569.61

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Solution

The fourth proportional to 2,390.77, 3,583.54 and 1,569.61 is: 2,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.77 : 3,583.54 = 1,569.61 : x
  2. Step 2: Convert to fraction form
    2,390.77/3,583.54 = 1,569.61/x
  3. Step 3: Cross multiply
    2,390.77x = 3,583.54 × 1,569.61
  4. Step 4: Simplify right side
    2,390.77x = 5,624,760.22
  5. Step 5: Solve for x
    x = 5,624,760.22/2,390.77
  6. Step 6: Final answer
    x = 2,352.70

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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.