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Finding the Fourth Proportional to 1,565.76, 2,162.91 and 1,455.06

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Solution

The fourth proportional to 1,565.76, 2,162.91 and 1,455.06 is: 2,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.76 : 2,162.91 = 1,455.06 : x
  2. Step 2: Convert to fraction form
    1,565.76/2,162.91 = 1,455.06/x
  3. Step 3: Cross multiply
    1,565.76x = 2,162.91 × 1,455.06
  4. Step 4: Simplify right side
    1,565.76x = 3,147,163.82
  5. Step 5: Solve for x
    x = 3,147,163.82/1,565.76
  6. Step 6: Final answer
    x = 2,009.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.