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Finding the Fourth Proportional to 1,962.13, 2,943.20 and 594.13

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Solution

The fourth proportional to 1,962.13, 2,943.20 and 594.13 is: 891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.13 : 2,943.20 = 594.13 : x
  2. Step 2: Convert to fraction form
    1,962.13/2,943.20 = 594.13/x
  3. Step 3: Cross multiply
    1,962.13x = 2,943.20 × 594.13
  4. Step 4: Simplify right side
    1,962.13x = 1,748,643.42
  5. Step 5: Solve for x
    x = 1,748,643.42/1,962.13
  6. Step 6: Final answer
    x = 891.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.