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Finding the Fourth Proportional to 2,594.04, 3,886.04 and 1,603.95

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Solution

The fourth proportional to 2,594.04, 3,886.04 and 1,603.95 is: 2,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.04 : 3,886.04 = 1,603.95 : x
  2. Step 2: Convert to fraction form
    2,594.04/3,886.04 = 1,603.95/x
  3. Step 3: Cross multiply
    2,594.04x = 3,886.04 × 1,603.95
  4. Step 4: Simplify right side
    2,594.04x = 6,233,013.86
  5. Step 5: Solve for x
    x = 6,233,013.86/2,594.04
  6. Step 6: Final answer
    x = 2,402.82

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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.