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Finding the Fourth Proportional to 2,788.19, 4,182.35 and 813.74

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Solution

The fourth proportional to 2,788.19, 4,182.35 and 813.74 is: 1,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.19 : 4,182.35 = 813.74 : x
  2. Step 2: Convert to fraction form
    2,788.19/4,182.35 = 813.74/x
  3. Step 3: Cross multiply
    2,788.19x = 4,182.35 × 813.74
  4. Step 4: Simplify right side
    2,788.19x = 3,403,345.49
  5. Step 5: Solve for x
    x = 3,403,345.49/2,788.19
  6. Step 6: Final answer
    x = 1,220.63

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1.5x scale

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.