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Finding the Fourth Proportional to 1,738.93, 2,606.47 and 813.10

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Solution

The fourth proportional to 1,738.93, 2,606.47 and 813.10 is: 1,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.93 : 2,606.47 = 813.10 : x
  2. Step 2: Convert to fraction form
    1,738.93/2,606.47 = 813.10/x
  3. Step 3: Cross multiply
    1,738.93x = 2,606.47 × 813.10
  4. Step 4: Simplify right side
    1,738.93x = 2,119,320.76
  5. Step 5: Solve for x
    x = 2,119,320.76/1,738.93
  6. Step 6: Final answer
    x = 1,218.75

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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.