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Finding the Fourth Proportional to 2,340.98, 3,229.10 and 1,501.40

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Solution

The fourth proportional to 2,340.98, 3,229.10 and 1,501.40 is: 2,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.98 : 3,229.10 = 1,501.40 : x
  2. Step 2: Convert to fraction form
    2,340.98/3,229.10 = 1,501.40/x
  3. Step 3: Cross multiply
    2,340.98x = 3,229.10 × 1,501.40
  4. Step 4: Simplify right side
    2,340.98x = 4,848,170.74
  5. Step 5: Solve for x
    x = 4,848,170.74/2,340.98
  6. Step 6: Final answer
    x = 2,071.00

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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.