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Finding the Fourth Proportional to 1,954.64, 2,697.46 and 1,070.50

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Solution

The fourth proportional to 1,954.64, 2,697.46 and 1,070.50 is: 1,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.64 : 2,697.46 = 1,070.50 : x
  2. Step 2: Convert to fraction form
    1,954.64/2,697.46 = 1,070.50/x
  3. Step 3: Cross multiply
    1,954.64x = 2,697.46 × 1,070.50
  4. Step 4: Simplify right side
    1,954.64x = 2,887,630.93
  5. Step 5: Solve for x
    x = 2,887,630.93/1,954.64
  6. Step 6: Final answer
    x = 1,477.32

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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.