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Finding the Fourth Proportional to 2,835.06, 3,911.02 and 1,655.90

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Solution

The fourth proportional to 2,835.06, 3,911.02 and 1,655.90 is: 2,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.06 : 3,911.02 = 1,655.90 : x
  2. Step 2: Convert to fraction form
    2,835.06/3,911.02 = 1,655.90/x
  3. Step 3: Cross multiply
    2,835.06x = 3,911.02 × 1,655.90
  4. Step 4: Simplify right side
    2,835.06x = 6,476,258.02
  5. Step 5: Solve for x
    x = 6,476,258.02/2,835.06
  6. Step 6: Final answer
    x = 2,284.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.