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Finding the Fourth Proportional to 1,774.81, 2,449.35 and 1,176.25

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Solution

The fourth proportional to 1,774.81, 2,449.35 and 1,176.25 is: 1,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.81 : 2,449.35 = 1,176.25 : x
  2. Step 2: Convert to fraction form
    1,774.81/2,449.35 = 1,176.25/x
  3. Step 3: Cross multiply
    1,774.81x = 2,449.35 × 1,176.25
  4. Step 4: Simplify right side
    1,774.81x = 2,881,047.94
  5. Step 5: Solve for x
    x = 2,881,047.94/1,774.81
  6. Step 6: Final answer
    x = 1,623.30

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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.