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Finding the Fourth Proportional to 1,753.57, 2,630.60 and 583.19

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Solution

The fourth proportional to 1,753.57, 2,630.60 and 583.19 is: 874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.57 : 2,630.60 = 583.19 : x
  2. Step 2: Convert to fraction form
    1,753.57/2,630.60 = 583.19/x
  3. Step 3: Cross multiply
    1,753.57x = 2,630.60 × 583.19
  4. Step 4: Simplify right side
    1,753.57x = 1,534,127.92
  5. Step 5: Solve for x
    x = 1,534,127.92/1,753.57
  6. Step 6: Final answer
    x = 874.86

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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.