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Finding the Fourth Proportional to 2,959.04, 4,082.31 and 1,699.40

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Solution

The fourth proportional to 2,959.04, 4,082.31 and 1,699.40 is: 2,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.04 : 4,082.31 = 1,699.40 : x
  2. Step 2: Convert to fraction form
    2,959.04/4,082.31 = 1,699.40/x
  3. Step 3: Cross multiply
    2,959.04x = 4,082.31 × 1,699.40
  4. Step 4: Simplify right side
    2,959.04x = 6,937,457.20
  5. Step 5: Solve for x
    x = 6,937,457.20/2,959.04
  6. Step 6: Final answer
    x = 2,344.50

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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.