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Finding the Fourth Proportional to 2,315.44, 3,473.16 and 584.08

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Solution

The fourth proportional to 2,315.44, 3,473.16 and 584.08 is: 876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.44 : 3,473.16 = 584.08 : x
  2. Step 2: Convert to fraction form
    2,315.44/3,473.16 = 584.08/x
  3. Step 3: Cross multiply
    2,315.44x = 3,473.16 × 584.08
  4. Step 4: Simplify right side
    2,315.44x = 2,028,603.29
  5. Step 5: Solve for x
    x = 2,028,603.29/2,315.44
  6. Step 6: Final answer
    x = 876.12

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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.