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Finding the Fourth Proportional to 1,914.38, 2,642.00 and 1,075.14

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Solution

The fourth proportional to 1,914.38, 2,642.00 and 1,075.14 is: 1,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.38 : 2,642.00 = 1,075.14 : x
  2. Step 2: Convert to fraction form
    1,914.38/2,642.00 = 1,075.14/x
  3. Step 3: Cross multiply
    1,914.38x = 2,642.00 × 1,075.14
  4. Step 4: Simplify right side
    1,914.38x = 2,840,514.50
  5. Step 5: Solve for x
    x = 2,840,514.50/1,914.38
  6. Step 6: Final answer
    x = 1,483.78

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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.