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Finding the Fourth Proportional to 2,570.58, 3,854.71 and 815.08

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Solution

The fourth proportional to 2,570.58, 3,854.71 and 815.08 is: 1,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.58 : 3,854.71 = 815.08 : x
  2. Step 2: Convert to fraction form
    2,570.58/3,854.71 = 815.08/x
  3. Step 3: Cross multiply
    2,570.58x = 3,854.71 × 815.08
  4. Step 4: Simplify right side
    2,570.58x = 3,141,897.03
  5. Step 5: Solve for x
    x = 3,141,897.03/2,570.58
  6. Step 6: Final answer
    x = 1,222.25

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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.