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Finding the Fourth Proportional to 2,641.16, 3,641.49 and 1,695.28

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Solution

The fourth proportional to 2,641.16, 3,641.49 and 1,695.28 is: 2,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.16 : 3,641.49 = 1,695.28 : x
  2. Step 2: Convert to fraction form
    2,641.16/3,641.49 = 1,695.28/x
  3. Step 3: Cross multiply
    2,641.16x = 3,641.49 × 1,695.28
  4. Step 4: Simplify right side
    2,641.16x = 6,173,345.17
  5. Step 5: Solve for x
    x = 6,173,345.17/2,641.16
  6. Step 6: Final answer
    x = 2,337.36

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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.