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Finding the Fourth Proportional to 2,956.50, 4,435.77 and 1,010.07

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Solution

The fourth proportional to 2,956.50, 4,435.77 and 1,010.07 is: 1,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.50 : 4,435.77 = 1,010.07 : x
  2. Step 2: Convert to fraction form
    2,956.50/4,435.77 = 1,010.07/x
  3. Step 3: Cross multiply
    2,956.50x = 4,435.77 × 1,010.07
  4. Step 4: Simplify right side
    2,956.50x = 4,480,449.29
  5. Step 5: Solve for x
    x = 4,480,449.29/2,956.50
  6. Step 6: Final answer
    x = 1,515.46

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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.