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Finding the Fourth Proportional to 1,838.90, 2,746.98 and 1,474.40

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Solution

The fourth proportional to 1,838.90, 2,746.98 and 1,474.40 is: 2,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.90 : 2,746.98 = 1,474.40 : x
  2. Step 2: Convert to fraction form
    1,838.90/2,746.98 = 1,474.40/x
  3. Step 3: Cross multiply
    1,838.90x = 2,746.98 × 1,474.40
  4. Step 4: Simplify right side
    1,838.90x = 4,050,133.58
  5. Step 5: Solve for x
    x = 4,050,133.58/1,838.90
  6. Step 6: Final answer
    x = 2,202.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.