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Finding the Fourth Proportional to 2,870.48, 4,309.68 and 1,484.80

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Solution

The fourth proportional to 2,870.48, 4,309.68 and 1,484.80 is: 2,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.48 : 4,309.68 = 1,484.80 : x
  2. Step 2: Convert to fraction form
    2,870.48/4,309.68 = 1,484.80/x
  3. Step 3: Cross multiply
    2,870.48x = 4,309.68 × 1,484.80
  4. Step 4: Simplify right side
    2,870.48x = 6,399,012.86
  5. Step 5: Solve for x
    x = 6,399,012.86/2,870.48
  6. Step 6: Final answer
    x = 2,229.25

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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.