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Finding the Fourth Proportional to 1,887.43, 2,604.64 and 1,048.14

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Solution

The fourth proportional to 1,887.43, 2,604.64 and 1,048.14 is: 1,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.43 : 2,604.64 = 1,048.14 : x
  2. Step 2: Convert to fraction form
    1,887.43/2,604.64 = 1,048.14/x
  3. Step 3: Cross multiply
    1,887.43x = 2,604.64 × 1,048.14
  4. Step 4: Simplify right side
    1,887.43x = 2,730,019.39
  5. Step 5: Solve for x
    x = 2,730,019.39/1,887.43
  6. Step 6: Final answer
    x = 1,446.42

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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.