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Finding the Fourth Proportional to 1,551.72, 2,326.74 and 770.00

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Solution

The fourth proportional to 1,551.72, 2,326.74 and 770.00 is: 1,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.72 : 2,326.74 = 770.00 : x
  2. Step 2: Convert to fraction form
    1,551.72/2,326.74 = 770.00/x
  3. Step 3: Cross multiply
    1,551.72x = 2,326.74 × 770.00
  4. Step 4: Simplify right side
    1,551.72x = 1,791,599.26
  5. Step 5: Solve for x
    x = 1,791,599.26/1,551.72
  6. Step 6: Final answer
    x = 1,154.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.