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Finding the Fourth Proportional to 2,315.07, 3,472.59 and 583.70

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Solution

The fourth proportional to 2,315.07, 3,472.59 and 583.70 is: 875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.07 : 3,472.59 = 583.70 : x
  2. Step 2: Convert to fraction form
    2,315.07/3,472.59 = 583.70/x
  3. Step 3: Cross multiply
    2,315.07x = 3,472.59 × 583.70
  4. Step 4: Simplify right side
    2,315.07x = 2,026,933.42
  5. Step 5: Solve for x
    x = 2,026,933.42/2,315.07
  6. Step 6: Final answer
    x = 875.54

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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.