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Finding the Fourth Proportional to 2,677.32, 3,695.54 and 1,683.45

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Solution

The fourth proportional to 2,677.32, 3,695.54 and 1,683.45 is: 2,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.32 : 3,695.54 = 1,683.45 : x
  2. Step 2: Convert to fraction form
    2,677.32/3,695.54 = 1,683.45/x
  3. Step 3: Cross multiply
    2,677.32x = 3,695.54 × 1,683.45
  4. Step 4: Simplify right side
    2,677.32x = 6,221,248.40
  5. Step 5: Solve for x
    x = 6,221,248.40/2,677.32
  6. Step 6: Final answer
    x = 2,323.69

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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.