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Finding the Fourth Proportional to 2,010.02, 3,014.82 and 777.40

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Solution

The fourth proportional to 2,010.02, 3,014.82 and 777.40 is: 1,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.02 : 3,014.82 = 777.40 : x
  2. Step 2: Convert to fraction form
    2,010.02/3,014.82 = 777.40/x
  3. Step 3: Cross multiply
    2,010.02x = 3,014.82 × 777.40
  4. Step 4: Simplify right side
    2,010.02x = 2,343,713.53
  5. Step 5: Solve for x
    x = 2,343,713.53/2,010.02
  6. Step 6: Final answer
    x = 1,166.02

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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.