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Finding the Fourth Proportional to 2,597.71, 3,897.66 and 1,059.79

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Solution

The fourth proportional to 2,597.71, 3,897.66 and 1,059.79 is: 1,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.71 : 3,897.66 = 1,059.79 : x
  2. Step 2: Convert to fraction form
    2,597.71/3,897.66 = 1,059.79/x
  3. Step 3: Cross multiply
    2,597.71x = 3,897.66 × 1,059.79
  4. Step 4: Simplify right side
    2,597.71x = 4,130,701.09
  5. Step 5: Solve for x
    x = 4,130,701.09/2,597.71
  6. Step 6: Final answer
    x = 1,590.13

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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.