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Finding the Fourth Proportional to 2,580.85, 3,562.14 and 1,696.74

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Solution

The fourth proportional to 2,580.85, 3,562.14 and 1,696.74 is: 2,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.85 : 3,562.14 = 1,696.74 : x
  2. Step 2: Convert to fraction form
    2,580.85/3,562.14 = 1,696.74/x
  3. Step 3: Cross multiply
    2,580.85x = 3,562.14 × 1,696.74
  4. Step 4: Simplify right side
    2,580.85x = 6,044,025.42
  5. Step 5: Solve for x
    x = 6,044,025.42/2,580.85
  6. Step 6: Final answer
    x = 2,341.87

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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.