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Finding the Fourth Proportional to 2,549.96, 3,518.90 and 1,430.90

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Solution

The fourth proportional to 2,549.96, 3,518.90 and 1,430.90 is: 1,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.96 : 3,518.90 = 1,430.90 : x
  2. Step 2: Convert to fraction form
    2,549.96/3,518.90 = 1,430.90/x
  3. Step 3: Cross multiply
    2,549.96x = 3,518.90 × 1,430.90
  4. Step 4: Simplify right side
    2,549.96x = 5,035,194.01
  5. Step 5: Solve for x
    x = 5,035,194.01/2,549.96
  6. Step 6: Final answer
    x = 1,974.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.