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Finding the Fourth Proportional to 2,290.95, 3,436.04 and 647.12

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Solution

The fourth proportional to 2,290.95, 3,436.04 and 647.12 is: 970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.95 : 3,436.04 = 647.12 : x
  2. Step 2: Convert to fraction form
    2,290.95/3,436.04 = 647.12/x
  3. Step 3: Cross multiply
    2,290.95x = 3,436.04 × 647.12
  4. Step 4: Simplify right side
    2,290.95x = 2,223,540.41
  5. Step 5: Solve for x
    x = 2,223,540.41/2,290.95
  6. Step 6: Final answer
    x = 970.58

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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.