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Finding the Fourth Proportional to 2,694.06, 3,717.50 and 1,499

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Solution

The fourth proportional to 2,694.06, 3,717.50 and 1,499 is: 2,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.06 : 3,717.50 = 1,499 : x
  2. Step 2: Convert to fraction form
    2,694.06/3,717.50 = 1,499/x
  3. Step 3: Cross multiply
    2,694.06x = 3,717.50 × 1,499
  4. Step 4: Simplify right side
    2,694.06x = 5,572,532.50
  5. Step 5: Solve for x
    x = 5,572,532.50/2,694.06
  6. Step 6: Final answer
    x = 2,068.45

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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.