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Finding the Fourth Proportional to 2,338.86, 3,506.24 and 1,557.74

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Solution

The fourth proportional to 2,338.86, 3,506.24 and 1,557.74 is: 2,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.86 : 3,506.24 = 1,557.74 : x
  2. Step 2: Convert to fraction form
    2,338.86/3,506.24 = 1,557.74/x
  3. Step 3: Cross multiply
    2,338.86x = 3,506.24 × 1,557.74
  4. Step 4: Simplify right side
    2,338.86x = 5,461,810.30
  5. Step 5: Solve for x
    x = 5,461,810.30/2,338.86
  6. Step 6: Final answer
    x = 2,335.24

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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.