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Finding the Fourth Proportional to 2,097.85, 2,897.10 and 1,901.02

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Solution

The fourth proportional to 2,097.85, 2,897.10 and 1,901.02 is: 2,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.85 : 2,897.10 = 1,901.02 : x
  2. Step 2: Convert to fraction form
    2,097.85/2,897.10 = 1,901.02/x
  3. Step 3: Cross multiply
    2,097.85x = 2,897.10 × 1,901.02
  4. Step 4: Simplify right side
    2,097.85x = 5,507,445.04
  5. Step 5: Solve for x
    x = 5,507,445.04/2,097.85
  6. Step 6: Final answer
    x = 2,625.28

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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.