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Finding the Fourth Proportional to 1,724.42, 2,381.87 and 1,499.90

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Solution

The fourth proportional to 1,724.42, 2,381.87 and 1,499.90 is: 2,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.42 : 2,381.87 = 1,499.90 : x
  2. Step 2: Convert to fraction form
    1,724.42/2,381.87 = 1,499.90/x
  3. Step 3: Cross multiply
    1,724.42x = 2,381.87 × 1,499.90
  4. Step 4: Simplify right side
    1,724.42x = 3,572,547.40
  5. Step 5: Solve for x
    x = 3,572,547.40/1,724.42
  6. Step 6: Final answer
    x = 2,071.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.