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Finding the Fourth Proportional to 3,014.70, 4,159.80 and 1,688.40

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Solution

The fourth proportional to 3,014.70, 4,159.80 and 1,688.40 is: 2,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.70 : 4,159.80 = 1,688.40 : x
  2. Step 2: Convert to fraction form
    3,014.70/4,159.80 = 1,688.40/x
  3. Step 3: Cross multiply
    3,014.70x = 4,159.80 × 1,688.40
  4. Step 4: Simplify right side
    3,014.70x = 7,023,406.32
  5. Step 5: Solve for x
    x = 7,023,406.32/3,014.70
  6. Step 6: Final answer
    x = 2,329.72

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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.