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Finding the Fourth Proportional to 1,774.13, 2,448.90 and 1,075.50

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Solution

The fourth proportional to 1,774.13, 2,448.90 and 1,075.50 is: 1,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.13 : 2,448.90 = 1,075.50 : x
  2. Step 2: Convert to fraction form
    1,774.13/2,448.90 = 1,075.50/x
  3. Step 3: Cross multiply
    1,774.13x = 2,448.90 × 1,075.50
  4. Step 4: Simplify right side
    1,774.13x = 2,633,791.95
  5. Step 5: Solve for x
    x = 2,633,791.95/1,774.13
  6. Step 6: Final answer
    x = 1,484.56

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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.