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Finding the Fourth Proportional to 2,501.44, 3,752.36 and 858.08

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Solution

The fourth proportional to 2,501.44, 3,752.36 and 858.08 is: 1,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.44 : 3,752.36 = 858.08 : x
  2. Step 2: Convert to fraction form
    2,501.44/3,752.36 = 858.08/x
  3. Step 3: Cross multiply
    2,501.44x = 3,752.36 × 858.08
  4. Step 4: Simplify right side
    2,501.44x = 3,219,825.07
  5. Step 5: Solve for x
    x = 3,219,825.07/2,501.44
  6. Step 6: Final answer
    x = 1,287.19

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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.