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Finding the Fourth Proportional to 2,045.70, 2,764.13 and 2,045.70

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Solution

The fourth proportional to 2,045.70, 2,764.13 and 2,045.70 is: 2,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.70 : 2,764.13 = 2,045.70 : x
  2. Step 2: Convert to fraction form
    2,045.70/2,764.13 = 2,045.70/x
  3. Step 3: Cross multiply
    2,045.70x = 2,764.13 × 2,045.70
  4. Step 4: Simplify right side
    2,045.70x = 5,654,570.51
  5. Step 5: Solve for x
    x = 5,654,570.51/2,045.70
  6. Step 6: Final answer
    x = 2,764.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.