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Finding the Fourth Proportional to 2,565.36, 3,848.34 and 921.77

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Solution

The fourth proportional to 2,565.36, 3,848.34 and 921.77 is: 1,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.36 : 3,848.34 = 921.77 : x
  2. Step 2: Convert to fraction form
    2,565.36/3,848.34 = 921.77/x
  3. Step 3: Cross multiply
    2,565.36x = 3,848.34 × 921.77
  4. Step 4: Simplify right side
    2,565.36x = 3,547,265.12
  5. Step 5: Solve for x
    x = 3,547,265.12/2,565.36
  6. Step 6: Final answer
    x = 1,382.76

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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.