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Finding the Fourth Proportional to 2,007.71, 3,010.95 and 602.22

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Solution

The fourth proportional to 2,007.71, 3,010.95 and 602.22 is: 903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.71 : 3,010.95 = 602.22 : x
  2. Step 2: Convert to fraction form
    2,007.71/3,010.95 = 602.22/x
  3. Step 3: Cross multiply
    2,007.71x = 3,010.95 × 602.22
  4. Step 4: Simplify right side
    2,007.71x = 1,813,254.31
  5. Step 5: Solve for x
    x = 1,813,254.31/2,007.71
  6. Step 6: Final answer
    x = 903.15

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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.