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Finding the Fourth Proportional to 1,774.18, 2,448.25 and 1,111

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Solution

The fourth proportional to 1,774.18, 2,448.25 and 1,111 is: 1,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.18 : 2,448.25 = 1,111 : x
  2. Step 2: Convert to fraction form
    1,774.18/2,448.25 = 1,111/x
  3. Step 3: Cross multiply
    1,774.18x = 2,448.25 × 1,111
  4. Step 4: Simplify right side
    1,774.18x = 2,720,005.75
  5. Step 5: Solve for x
    x = 2,720,005.75/1,774.18
  6. Step 6: Final answer
    x = 1,533.11

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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.