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Finding the Fourth Proportional to 4,470.60, 6,700.68 and 1,870.56

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Solution

The fourth proportional to 4,470.60, 6,700.68 and 1,870.56 is: 2,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.60 : 6,700.68 = 1,870.56 : x
  2. Step 2: Convert to fraction form
    4,470.60/6,700.68 = 1,870.56/x
  3. Step 3: Cross multiply
    4,470.60x = 6,700.68 × 1,870.56
  4. Step 4: Simplify right side
    4,470.60x = 12,534,023.98
  5. Step 5: Solve for x
    x = 12,534,023.98/4,470.60
  6. Step 6: Final answer
    x = 2,803.66

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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.