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Finding the Fourth Proportional to 1,557.93, 2,336.91 and 583.83

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Solution

The fourth proportional to 1,557.93, 2,336.91 and 583.83 is: 875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.93 : 2,336.91 = 583.83 : x
  2. Step 2: Convert to fraction form
    1,557.93/2,336.91 = 583.83/x
  3. Step 3: Cross multiply
    1,557.93x = 2,336.91 × 583.83
  4. Step 4: Simplify right side
    1,557.93x = 1,364,358.17
  5. Step 5: Solve for x
    x = 1,364,358.17/1,557.93
  6. Step 6: Final answer
    x = 875.75

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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.