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Finding the Fourth Proportional to 1,897.41, 2,620.92 and 1,454.55

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Solution

The fourth proportional to 1,897.41, 2,620.92 and 1,454.55 is: 2,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.41 : 2,620.92 = 1,454.55 : x
  2. Step 2: Convert to fraction form
    1,897.41/2,620.92 = 1,454.55/x
  3. Step 3: Cross multiply
    1,897.41x = 2,620.92 × 1,454.55
  4. Step 4: Simplify right side
    1,897.41x = 3,812,259.19
  5. Step 5: Solve for x
    x = 3,812,259.19/1,897.41
  6. Step 6: Final answer
    x = 2,009.19

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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.