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Finding the Fourth Proportional to 2,574.41, 3,858.58 and 929.71

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Solution

The fourth proportional to 2,574.41, 3,858.58 and 929.71 is: 1,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.41 : 3,858.58 = 929.71 : x
  2. Step 2: Convert to fraction form
    2,574.41/3,858.58 = 929.71/x
  3. Step 3: Cross multiply
    2,574.41x = 3,858.58 × 929.71
  4. Step 4: Simplify right side
    2,574.41x = 3,587,336.47
  5. Step 5: Solve for x
    x = 3,587,336.47/2,574.41
  6. Step 6: Final answer
    x = 1,393.46

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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.