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Finding the Fourth Proportional to 1,854.60, 2,764.30 and 1,714.16

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Solution

The fourth proportional to 1,854.60, 2,764.30 and 1,714.16 is: 2,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.60 : 2,764.30 = 1,714.16 : x
  2. Step 2: Convert to fraction form
    1,854.60/2,764.30 = 1,714.16/x
  3. Step 3: Cross multiply
    1,854.60x = 2,764.30 × 1,714.16
  4. Step 4: Simplify right side
    1,854.60x = 4,738,452.49
  5. Step 5: Solve for x
    x = 4,738,452.49/1,854.60
  6. Step 6: Final answer
    x = 2,554.97

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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.