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Finding the Fourth Proportional to 2,010.17, 3,014.91 and 548.98

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Solution

The fourth proportional to 2,010.17, 3,014.91 and 548.98 is: 823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.17 : 3,014.91 = 548.98 : x
  2. Step 2: Convert to fraction form
    2,010.17/3,014.91 = 548.98/x
  3. Step 3: Cross multiply
    2,010.17x = 3,014.91 × 548.98
  4. Step 4: Simplify right side
    2,010.17x = 1,655,125.29
  5. Step 5: Solve for x
    x = 1,655,125.29/2,010.17
  6. Step 6: Final answer
    x = 823.38

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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.