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Finding the Fourth Proportional to 1,720.38, 2,580.84 and 899.34

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Solution

The fourth proportional to 1,720.38, 2,580.84 and 899.34 is: 1,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.38 : 2,580.84 = 899.34 : x
  2. Step 2: Convert to fraction form
    1,720.38/2,580.84 = 899.34/x
  3. Step 3: Cross multiply
    1,720.38x = 2,580.84 × 899.34
  4. Step 4: Simplify right side
    1,720.38x = 2,321,052.65
  5. Step 5: Solve for x
    x = 2,321,052.65/1,720.38
  6. Step 6: Final answer
    x = 1,349.15

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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.