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Finding the Fourth Proportional to 2,705.79, 3,733.65 and 1,526.66

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Solution

The fourth proportional to 2,705.79, 3,733.65 and 1,526.66 is: 2,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.79 : 3,733.65 = 1,526.66 : x
  2. Step 2: Convert to fraction form
    2,705.79/3,733.65 = 1,526.66/x
  3. Step 3: Cross multiply
    2,705.79x = 3,733.65 × 1,526.66
  4. Step 4: Simplify right side
    2,705.79x = 5,699,995.44
  5. Step 5: Solve for x
    x = 5,699,995.44/2,705.79
  6. Step 6: Final answer
    x = 2,106.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.