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Finding the Fourth Proportional to 2,390.07, 3,583.73 and 927.52

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Solution

The fourth proportional to 2,390.07, 3,583.73 and 927.52 is: 1,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.07 : 3,583.73 = 927.52 : x
  2. Step 2: Convert to fraction form
    2,390.07/3,583.73 = 927.52/x
  3. Step 3: Cross multiply
    2,390.07x = 3,583.73 × 927.52
  4. Step 4: Simplify right side
    2,390.07x = 3,323,974.61
  5. Step 5: Solve for x
    x = 3,323,974.61/2,390.07
  6. Step 6: Final answer
    x = 1,390.74

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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.