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Finding the Fourth Proportional to 1,730.29, 2,387.12 and 973.90

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Solution

The fourth proportional to 1,730.29, 2,387.12 and 973.90 is: 1,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.29 : 2,387.12 = 973.90 : x
  2. Step 2: Convert to fraction form
    1,730.29/2,387.12 = 973.90/x
  3. Step 3: Cross multiply
    1,730.29x = 2,387.12 × 973.90
  4. Step 4: Simplify right side
    1,730.29x = 2,324,816.17
  5. Step 5: Solve for x
    x = 2,324,816.17/1,730.29
  6. Step 6: Final answer
    x = 1,343.60

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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.