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Finding the Fourth Proportional to 1,551.66, 2,325.60 and 820.77

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Solution

The fourth proportional to 1,551.66, 2,325.60 and 820.77 is: 1,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.66 : 2,325.60 = 820.77 : x
  2. Step 2: Convert to fraction form
    1,551.66/2,325.60 = 820.77/x
  3. Step 3: Cross multiply
    1,551.66x = 2,325.60 × 820.77
  4. Step 4: Simplify right side
    1,551.66x = 1,908,782.71
  5. Step 5: Solve for x
    x = 1,908,782.71/1,551.66
  6. Step 6: Final answer
    x = 1,230.16

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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.