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Finding the Fourth Proportional to 1,681.16, 2,319.84 and 1,239.30

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Solution

The fourth proportional to 1,681.16, 2,319.84 and 1,239.30 is: 1,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.16 : 2,319.84 = 1,239.30 : x
  2. Step 2: Convert to fraction form
    1,681.16/2,319.84 = 1,239.30/x
  3. Step 3: Cross multiply
    1,681.16x = 2,319.84 × 1,239.30
  4. Step 4: Simplify right side
    1,681.16x = 2,874,977.71
  5. Step 5: Solve for x
    x = 2,874,977.71/1,681.16
  6. Step 6: Final answer
    x = 1,710.12

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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.