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Finding the Fourth Proportional to 1,765.64, 2,435.17 and 1,500.96

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Solution

The fourth proportional to 1,765.64, 2,435.17 and 1,500.96 is: 2,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.64 : 2,435.17 = 1,500.96 : x
  2. Step 2: Convert to fraction form
    1,765.64/2,435.17 = 1,500.96/x
  3. Step 3: Cross multiply
    1,765.64x = 2,435.17 × 1,500.96
  4. Step 4: Simplify right side
    1,765.64x = 3,655,087.26
  5. Step 5: Solve for x
    x = 3,655,087.26/1,765.64
  6. Step 6: Final answer
    x = 2,070.12

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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.