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Finding the Fourth Proportional to 1,737.06, 2,602.35 and 1,542.66

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Solution

The fourth proportional to 1,737.06, 2,602.35 and 1,542.66 is: 2,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.06 : 2,602.35 = 1,542.66 : x
  2. Step 2: Convert to fraction form
    1,737.06/2,602.35 = 1,542.66/x
  3. Step 3: Cross multiply
    1,737.06x = 2,602.35 × 1,542.66
  4. Step 4: Simplify right side
    1,737.06x = 4,014,541.25
  5. Step 5: Solve for x
    x = 4,014,541.25/1,737.06
  6. Step 6: Final answer
    x = 2,311.11

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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.