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Finding the Fourth Proportional to 2,570.36, 3,854.52 and 926.40

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Solution

The fourth proportional to 2,570.36, 3,854.52 and 926.40 is: 1,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.36 : 3,854.52 = 926.40 : x
  2. Step 2: Convert to fraction form
    2,570.36/3,854.52 = 926.40/x
  3. Step 3: Cross multiply
    2,570.36x = 3,854.52 × 926.40
  4. Step 4: Simplify right side
    2,570.36x = 3,570,827.33
  5. Step 5: Solve for x
    x = 3,570,827.33/2,570.36
  6. Step 6: Final answer
    x = 1,389.23

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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.