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Finding the Fourth Proportional to 2,588.77, 3,883.28 and 740.15

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Solution

The fourth proportional to 2,588.77, 3,883.28 and 740.15 is: 1,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.77 : 3,883.28 = 740.15 : x
  2. Step 2: Convert to fraction form
    2,588.77/3,883.28 = 740.15/x
  3. Step 3: Cross multiply
    2,588.77x = 3,883.28 × 740.15
  4. Step 4: Simplify right side
    2,588.77x = 2,874,205.99
  5. Step 5: Solve for x
    x = 2,874,205.99/2,588.77
  6. Step 6: Final answer
    x = 1,110.26

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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.