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Finding the Fourth Proportional to 2,357.64, 3,254.04 and 1,914.48

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Solution

The fourth proportional to 2,357.64, 3,254.04 and 1,914.48 is: 2,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.64 : 3,254.04 = 1,914.48 : x
  2. Step 2: Convert to fraction form
    2,357.64/3,254.04 = 1,914.48/x
  3. Step 3: Cross multiply
    2,357.64x = 3,254.04 × 1,914.48
  4. Step 4: Simplify right side
    2,357.64x = 6,229,794.50
  5. Step 5: Solve for x
    x = 6,229,794.50/2,357.64
  6. Step 6: Final answer
    x = 2,642.39

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1.5x scale

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.