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Finding the Fourth Proportional to 2,262.93, 3,394.28 and 619.44

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Solution

The fourth proportional to 2,262.93, 3,394.28 and 619.44 is: 929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.93 : 3,394.28 = 619.44 : x
  2. Step 2: Convert to fraction form
    2,262.93/3,394.28 = 619.44/x
  3. Step 3: Cross multiply
    2,262.93x = 3,394.28 × 619.44
  4. Step 4: Simplify right side
    2,262.93x = 2,102,549.71
  5. Step 5: Solve for x
    x = 2,102,549.71/2,262.93
  6. Step 6: Final answer
    x = 929.13

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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.