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Finding the Fourth Proportional to 2,298.61, 3,172.01 and 1,354.19

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Solution

The fourth proportional to 2,298.61, 3,172.01 and 1,354.19 is: 1,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.61 : 3,172.01 = 1,354.19 : x
  2. Step 2: Convert to fraction form
    2,298.61/3,172.01 = 1,354.19/x
  3. Step 3: Cross multiply
    2,298.61x = 3,172.01 × 1,354.19
  4. Step 4: Simplify right side
    2,298.61x = 4,295,504.22
  5. Step 5: Solve for x
    x = 4,295,504.22/2,298.61
  6. Step 6: Final answer
    x = 1,868.74

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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.