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Finding the Fourth Proportional to 2,309.68, 3,463.29 and 1,009.63

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Solution

The fourth proportional to 2,309.68, 3,463.29 and 1,009.63 is: 1,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.68 : 3,463.29 = 1,009.63 : x
  2. Step 2: Convert to fraction form
    2,309.68/3,463.29 = 1,009.63/x
  3. Step 3: Cross multiply
    2,309.68x = 3,463.29 × 1,009.63
  4. Step 4: Simplify right side
    2,309.68x = 3,496,641.48
  5. Step 5: Solve for x
    x = 3,496,641.48/2,309.68
  6. Step 6: Final answer
    x = 1,513.91

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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.