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Finding the Fourth Proportional to 2,551.70, 3,826.65 and 1,165.70

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Solution

The fourth proportional to 2,551.70, 3,826.65 and 1,165.70 is: 1,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.70 : 3,826.65 = 1,165.70 : x
  2. Step 2: Convert to fraction form
    2,551.70/3,826.65 = 1,165.70/x
  3. Step 3: Cross multiply
    2,551.70x = 3,826.65 × 1,165.70
  4. Step 4: Simplify right side
    2,551.70x = 4,460,725.91
  5. Step 5: Solve for x
    x = 4,460,725.91/2,551.70
  6. Step 6: Final answer
    x = 1,748.14

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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.