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Finding the Fourth Proportional to 1,854.76, 2,769.78 and 1,746.76

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Solution

The fourth proportional to 1,854.76, 2,769.78 and 1,746.76 is: 2,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.76 : 2,769.78 = 1,746.76 : x
  2. Step 2: Convert to fraction form
    1,854.76/2,769.78 = 1,746.76/x
  3. Step 3: Cross multiply
    1,854.76x = 2,769.78 × 1,746.76
  4. Step 4: Simplify right side
    1,854.76x = 4,838,140.91
  5. Step 5: Solve for x
    x = 4,838,140.91/1,854.76
  6. Step 6: Final answer
    x = 2,608.50

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1.5x scale

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.