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Finding the Fourth Proportional to 1,774, 2,448.12 and 1,075.78

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Solution

The fourth proportional to 1,774, 2,448.12 and 1,075.78 is: 1,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774 : 2,448.12 = 1,075.78 : x
  2. Step 2: Convert to fraction form
    1,774/2,448.12 = 1,075.78/x
  3. Step 3: Cross multiply
    1,774x = 2,448.12 × 1,075.78
  4. Step 4: Simplify right side
    1,774x = 2,633,638.53
  5. Step 5: Solve for x
    x = 2,633,638.53/1,774
  6. Step 6: Final answer
    x = 1,484.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.