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Finding the Fourth Proportional to 1,731.19, 2,389.06 and 985.02

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Solution

The fourth proportional to 1,731.19, 2,389.06 and 985.02 is: 1,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.19 : 2,389.06 = 985.02 : x
  2. Step 2: Convert to fraction form
    1,731.19/2,389.06 = 985.02/x
  3. Step 3: Cross multiply
    1,731.19x = 2,389.06 × 985.02
  4. Step 4: Simplify right side
    1,731.19x = 2,353,271.88
  5. Step 5: Solve for x
    x = 2,353,271.88/1,731.19
  6. Step 6: Final answer
    x = 1,359.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.