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Finding the Fourth Proportional to 2,384.13, 3,572.78 and 1,048.32

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Solution

The fourth proportional to 2,384.13, 3,572.78 and 1,048.32 is: 1,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.13 : 3,572.78 = 1,048.32 : x
  2. Step 2: Convert to fraction form
    2,384.13/3,572.78 = 1,048.32/x
  3. Step 3: Cross multiply
    2,384.13x = 3,572.78 × 1,048.32
  4. Step 4: Simplify right side
    2,384.13x = 3,745,416.73
  5. Step 5: Solve for x
    x = 3,745,416.73/2,384.13
  6. Step 6: Final answer
    x = 1,570.98

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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.