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Finding the Fourth Proportional to 2,312.48, 3,466.80 and 1,014.56

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Solution

The fourth proportional to 2,312.48, 3,466.80 and 1,014.56 is: 1,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.48 : 3,466.80 = 1,014.56 : x
  2. Step 2: Convert to fraction form
    2,312.48/3,466.80 = 1,014.56/x
  3. Step 3: Cross multiply
    2,312.48x = 3,466.80 × 1,014.56
  4. Step 4: Simplify right side
    2,312.48x = 3,517,276.61
  5. Step 5: Solve for x
    x = 3,517,276.61/2,312.48
  6. Step 6: Final answer
    x = 1,521.00

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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.