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Finding the Fourth Proportional to 3,322.74, 4,585.51 and 1,830.77

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Solution

The fourth proportional to 3,322.74, 4,585.51 and 1,830.77 is: 2,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.74 : 4,585.51 = 1,830.77 : x
  2. Step 2: Convert to fraction form
    3,322.74/4,585.51 = 1,830.77/x
  3. Step 3: Cross multiply
    3,322.74x = 4,585.51 × 1,830.77
  4. Step 4: Simplify right side
    3,322.74x = 8,395,010.70
  5. Step 5: Solve for x
    x = 8,395,010.70/3,322.74
  6. Step 6: Final answer
    x = 2,526.53

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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.