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Finding the Fourth Proportional to 1,557.92, 2,336.60 and 583.76

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Solution

The fourth proportional to 1,557.92, 2,336.60 and 583.76 is: 875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.92 : 2,336.60 = 583.76 : x
  2. Step 2: Convert to fraction form
    1,557.92/2,336.60 = 583.76/x
  3. Step 3: Cross multiply
    1,557.92x = 2,336.60 × 583.76
  4. Step 4: Simplify right side
    1,557.92x = 1,364,013.62
  5. Step 5: Solve for x
    x = 1,364,013.62/1,557.92
  6. Step 6: Final answer
    x = 875.54

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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.