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Finding the Fourth Proportional to 2,318.93, 3,478.31 and 675.51

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Solution

The fourth proportional to 2,318.93, 3,478.31 and 675.51 is: 1,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.93 : 3,478.31 = 675.51 : x
  2. Step 2: Convert to fraction form
    2,318.93/3,478.31 = 675.51/x
  3. Step 3: Cross multiply
    2,318.93x = 3,478.31 × 675.51
  4. Step 4: Simplify right side
    2,318.93x = 2,349,619.30
  5. Step 5: Solve for x
    x = 2,349,619.30/2,318.93
  6. Step 6: Final answer
    x = 1,013.23

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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.