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Finding the Fourth Proportional to 4,470.95, 6,702.44 and 1,695.74

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Solution

The fourth proportional to 4,470.95, 6,702.44 and 1,695.74 is: 2,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.95 : 6,702.44 = 1,695.74 : x
  2. Step 2: Convert to fraction form
    4,470.95/6,702.44 = 1,695.74/x
  3. Step 3: Cross multiply
    4,470.95x = 6,702.44 × 1,695.74
  4. Step 4: Simplify right side
    4,470.95x = 11,365,616.60
  5. Step 5: Solve for x
    x = 11,365,616.60/4,470.95
  6. Step 6: Final answer
    x = 2,542.10

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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.