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Finding the Fourth Proportional to 2,924.01, 4,034.88 and 1,597.64

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Solution

The fourth proportional to 2,924.01, 4,034.88 and 1,597.64 is: 2,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.01 : 4,034.88 = 1,597.64 : x
  2. Step 2: Convert to fraction form
    2,924.01/4,034.88 = 1,597.64/x
  3. Step 3: Cross multiply
    2,924.01x = 4,034.88 × 1,597.64
  4. Step 4: Simplify right side
    2,924.01x = 6,446,265.51
  5. Step 5: Solve for x
    x = 6,446,265.51/2,924.01
  6. Step 6: Final answer
    x = 2,204.60

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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.