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Finding the Fourth Proportional to 2,657.61, 3,985.61 and 1,014.53

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Solution

The fourth proportional to 2,657.61, 3,985.61 and 1,014.53 is: 1,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.61 : 3,985.61 = 1,014.53 : x
  2. Step 2: Convert to fraction form
    2,657.61/3,985.61 = 1,014.53/x
  3. Step 3: Cross multiply
    2,657.61x = 3,985.61 × 1,014.53
  4. Step 4: Simplify right side
    2,657.61x = 4,043,495.91
  5. Step 5: Solve for x
    x = 4,043,495.91/2,657.61
  6. Step 6: Final answer
    x = 1,521.48

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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.