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Finding the Fourth Proportional to 1,732.04, 2,390.33 and 986.06

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Solution

The fourth proportional to 1,732.04, 2,390.33 and 986.06 is: 1,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.04 : 2,390.33 = 986.06 : x
  2. Step 2: Convert to fraction form
    1,732.04/2,390.33 = 986.06/x
  3. Step 3: Cross multiply
    1,732.04x = 2,390.33 × 986.06
  4. Step 4: Simplify right side
    1,732.04x = 2,357,009.85
  5. Step 5: Solve for x
    x = 2,357,009.85/1,732.04
  6. Step 6: Final answer
    x = 1,360.83

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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.