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Finding the Fourth Proportional to 2,527.50, 3,488.31 and 2,416.80

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Solution

The fourth proportional to 2,527.50, 3,488.31 and 2,416.80 is: 3,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.50 : 3,488.31 = 2,416.80 : x
  2. Step 2: Convert to fraction form
    2,527.50/3,488.31 = 2,416.80/x
  3. Step 3: Cross multiply
    2,527.50x = 3,488.31 × 2,416.80
  4. Step 4: Simplify right side
    2,527.50x = 8,430,547.61
  5. Step 5: Solve for x
    x = 8,430,547.61/2,527.50
  6. Step 6: Final answer
    x = 3,335.53

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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.