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Finding the Fourth Proportional to 1,748.05, 2,620.96 and 651.92

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Solution

The fourth proportional to 1,748.05, 2,620.96 and 651.92 is: 977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.05 : 2,620.96 = 651.92 : x
  2. Step 2: Convert to fraction form
    1,748.05/2,620.96 = 651.92/x
  3. Step 3: Cross multiply
    1,748.05x = 2,620.96 × 651.92
  4. Step 4: Simplify right side
    1,748.05x = 1,708,641.51
  5. Step 5: Solve for x
    x = 1,708,641.51/1,748.05
  6. Step 6: Final answer
    x = 977.46

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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.