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Finding the Fourth Proportional to 1,492.18, 2,236.66 and 658.51

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Solution

The fourth proportional to 1,492.18, 2,236.66 and 658.51 is: 987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.18 : 2,236.66 = 658.51 : x
  2. Step 2: Convert to fraction form
    1,492.18/2,236.66 = 658.51/x
  3. Step 3: Cross multiply
    1,492.18x = 2,236.66 × 658.51
  4. Step 4: Simplify right side
    1,492.18x = 1,472,862.98
  5. Step 5: Solve for x
    x = 1,472,862.98/1,492.18
  6. Step 6: Final answer
    x = 987.05

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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.