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Finding the Fourth Proportional to 1,774.19, 2,448.25 and 1,018.06

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Solution

The fourth proportional to 1,774.19, 2,448.25 and 1,018.06 is: 1,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.19 : 2,448.25 = 1,018.06 : x
  2. Step 2: Convert to fraction form
    1,774.19/2,448.25 = 1,018.06/x
  3. Step 3: Cross multiply
    1,774.19x = 2,448.25 × 1,018.06
  4. Step 4: Simplify right side
    1,774.19x = 2,492,456.73
  5. Step 5: Solve for x
    x = 2,492,456.73/1,774.19
  6. Step 6: Final answer
    x = 1,404.84

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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.