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Finding the Fourth Proportional to 1,681.21, 2,319.90 and 972.88

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Solution

The fourth proportional to 1,681.21, 2,319.90 and 972.88 is: 1,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.21 : 2,319.90 = 972.88 : x
  2. Step 2: Convert to fraction form
    1,681.21/2,319.90 = 972.88/x
  3. Step 3: Cross multiply
    1,681.21x = 2,319.90 × 972.88
  4. Step 4: Simplify right side
    1,681.21x = 2,256,984.31
  5. Step 5: Solve for x
    x = 2,256,984.31/1,681.21
  6. Step 6: Final answer
    x = 1,342.48

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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.