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Finding the Fourth Proportional to 2,835.51, 4,254.21 and 987.09

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Solution

The fourth proportional to 2,835.51, 4,254.21 and 987.09 is: 1,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.51 : 4,254.21 = 987.09 : x
  2. Step 2: Convert to fraction form
    2,835.51/4,254.21 = 987.09/x
  3. Step 3: Cross multiply
    2,835.51x = 4,254.21 × 987.09
  4. Step 4: Simplify right side
    2,835.51x = 4,199,288.15
  5. Step 5: Solve for x
    x = 4,199,288.15/2,835.51
  6. Step 6: Final answer
    x = 1,480.96

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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.