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Finding the Fourth Proportional to 2,597.47, 3,582.13 and 2,030.38

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Solution

The fourth proportional to 2,597.47, 3,582.13 and 2,030.38 is: 2,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.47 : 3,582.13 = 2,030.38 : x
  2. Step 2: Convert to fraction form
    2,597.47/3,582.13 = 2,030.38/x
  3. Step 3: Cross multiply
    2,597.47x = 3,582.13 × 2,030.38
  4. Step 4: Simplify right side
    2,597.47x = 7,273,062.12
  5. Step 5: Solve for x
    x = 7,273,062.12/2,597.47
  6. Step 6: Final answer
    x = 2,800.06

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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.