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Finding the Fourth Proportional to 1,503.02, 2,243.90 and 1,346.42

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Solution

The fourth proportional to 1,503.02, 2,243.90 and 1,346.42 is: 2,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.02 : 2,243.90 = 1,346.42 : x
  2. Step 2: Convert to fraction form
    1,503.02/2,243.90 = 1,346.42/x
  3. Step 3: Cross multiply
    1,503.02x = 2,243.90 × 1,346.42
  4. Step 4: Simplify right side
    1,503.02x = 3,021,231.84
  5. Step 5: Solve for x
    x = 3,021,231.84/1,503.02
  6. Step 6: Final answer
    x = 2,010.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.