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Finding the Fourth Proportional to 1,954.67, 2,697.50 and 1,070.52

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Solution

The fourth proportional to 1,954.67, 2,697.50 and 1,070.52 is: 1,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.67 : 2,697.50 = 1,070.52 : x
  2. Step 2: Convert to fraction form
    1,954.67/2,697.50 = 1,070.52/x
  3. Step 3: Cross multiply
    1,954.67x = 2,697.50 × 1,070.52
  4. Step 4: Simplify right side
    1,954.67x = 2,887,720.26
  5. Step 5: Solve for x
    x = 2,887,720.26/1,954.67
  6. Step 6: Final answer
    x = 1,477.35

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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.