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Finding the Fourth Proportional to 2,785.34, 3,843.60 and 1,526.16

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Solution

The fourth proportional to 2,785.34, 3,843.60 and 1,526.16 is: 2,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.34 : 3,843.60 = 1,526.16 : x
  2. Step 2: Convert to fraction form
    2,785.34/3,843.60 = 1,526.16/x
  3. Step 3: Cross multiply
    2,785.34x = 3,843.60 × 1,526.16
  4. Step 4: Simplify right side
    2,785.34x = 5,865,948.58
  5. Step 5: Solve for x
    x = 5,865,948.58/2,785.34
  6. Step 6: Final answer
    x = 2,106.01

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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.