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Finding the Fourth Proportional to 2,835.32, 3,911.84 and 1,715.90

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Solution

The fourth proportional to 2,835.32, 3,911.84 and 1,715.90 is: 2,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.32 : 3,911.84 = 1,715.90 : x
  2. Step 2: Convert to fraction form
    2,835.32/3,911.84 = 1,715.90/x
  3. Step 3: Cross multiply
    2,835.32x = 3,911.84 × 1,715.90
  4. Step 4: Simplify right side
    2,835.32x = 6,712,307.90
  5. Step 5: Solve for x
    x = 6,712,307.90/2,835.32
  6. Step 6: Final answer
    x = 2,367.39

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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.