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Finding the Fourth Proportional to 2,705.76, 3,733.68 and 1,526.88

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Solution

The fourth proportional to 2,705.76, 3,733.68 and 1,526.88 is: 2,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.76 : 3,733.68 = 1,526.88 : x
  2. Step 2: Convert to fraction form
    2,705.76/3,733.68 = 1,526.88/x
  3. Step 3: Cross multiply
    2,705.76x = 3,733.68 × 1,526.88
  4. Step 4: Simplify right side
    2,705.76x = 5,700,881.32
  5. Step 5: Solve for x
    x = 5,700,881.32/2,705.76
  6. Step 6: Final answer
    x = 2,106.94

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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.