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Finding the Fourth Proportional to 1,499.84, 2,234.19 and 1,417.76

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Solution

The fourth proportional to 1,499.84, 2,234.19 and 1,417.76 is: 2,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.84 : 2,234.19 = 1,417.76 : x
  2. Step 2: Convert to fraction form
    1,499.84/2,234.19 = 1,417.76/x
  3. Step 3: Cross multiply
    1,499.84x = 2,234.19 × 1,417.76
  4. Step 4: Simplify right side
    1,499.84x = 3,167,545.21
  5. Step 5: Solve for x
    x = 3,167,545.21/1,499.84
  6. Step 6: Final answer
    x = 2,111.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.