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Finding the Fourth Proportional to 2,835.93, 4,253.86 and 987.01

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Solution

The fourth proportional to 2,835.93, 4,253.86 and 987.01 is: 1,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.93 : 4,253.86 = 987.01 : x
  2. Step 2: Convert to fraction form
    2,835.93/4,253.86 = 987.01/x
  3. Step 3: Cross multiply
    2,835.93x = 4,253.86 × 987.01
  4. Step 4: Simplify right side
    2,835.93x = 4,198,602.36
  5. Step 5: Solve for x
    x = 4,198,602.36/2,835.93
  6. Step 6: Final answer
    x = 1,480.50

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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.