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Finding the Fourth Proportional to 3,014.76, 4,160.24 and 1,688.24

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Solution

The fourth proportional to 3,014.76, 4,160.24 and 1,688.24 is: 2,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.76 : 4,160.24 = 1,688.24 : x
  2. Step 2: Convert to fraction form
    3,014.76/4,160.24 = 1,688.24/x
  3. Step 3: Cross multiply
    3,014.76x = 4,160.24 × 1,688.24
  4. Step 4: Simplify right side
    3,014.76x = 7,023,483.58
  5. Step 5: Solve for x
    x = 7,023,483.58/3,014.76
  6. Step 6: Final answer
    x = 2,329.70

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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.