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Finding the Fourth Proportional to 1,730.90, 2,388.88 and 985.16

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Solution

The fourth proportional to 1,730.90, 2,388.88 and 985.16 is: 1,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.90 : 2,388.88 = 985.16 : x
  2. Step 2: Convert to fraction form
    1,730.90/2,388.88 = 985.16/x
  3. Step 3: Cross multiply
    1,730.90x = 2,388.88 × 985.16
  4. Step 4: Simplify right side
    1,730.90x = 2,353,429.02
  5. Step 5: Solve for x
    x = 2,353,429.02/1,730.90
  6. Step 6: Final answer
    x = 1,359.66

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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.