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Finding the Fourth Proportional to 2,678.86, 3,697.68 and 1,559.58

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Solution

The fourth proportional to 2,678.86, 3,697.68 and 1,559.58 is: 2,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.86 : 3,697.68 = 1,559.58 : x
  2. Step 2: Convert to fraction form
    2,678.86/3,697.68 = 1,559.58/x
  3. Step 3: Cross multiply
    2,678.86x = 3,697.68 × 1,559.58
  4. Step 4: Simplify right side
    2,678.86x = 5,766,827.77
  5. Step 5: Solve for x
    x = 5,766,827.77/2,678.86
  6. Step 6: Final answer
    x = 2,152.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.