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Finding the Fourth Proportional to 2,565.51, 3,854.03 and 1,410.63

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Solution

The fourth proportional to 2,565.51, 3,854.03 and 1,410.63 is: 2,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.51 : 3,854.03 = 1,410.63 : x
  2. Step 2: Convert to fraction form
    2,565.51/3,854.03 = 1,410.63/x
  3. Step 3: Cross multiply
    2,565.51x = 3,854.03 × 1,410.63
  4. Step 4: Simplify right side
    2,565.51x = 5,436,603.29
  5. Step 5: Solve for x
    x = 5,436,603.29/2,565.51
  6. Step 6: Final answer
    x = 2,119.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.