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Finding the Fourth Proportional to 2,693.01, 4,038.19 and 1,597.08

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Solution

The fourth proportional to 2,693.01, 4,038.19 and 1,597.08 is: 2,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.01 : 4,038.19 = 1,597.08 : x
  2. Step 2: Convert to fraction form
    2,693.01/4,038.19 = 1,597.08/x
  3. Step 3: Cross multiply
    2,693.01x = 4,038.19 × 1,597.08
  4. Step 4: Simplify right side
    2,693.01x = 6,449,312.49
  5. Step 5: Solve for x
    x = 6,449,312.49/2,693.01
  6. Step 6: Final answer
    x = 2,394.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.