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Finding the Fourth Proportional to 1,564.77, 2,157.99 and 1,298.79

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Solution

The fourth proportional to 1,564.77, 2,157.99 and 1,298.79 is: 1,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.77 : 2,157.99 = 1,298.79 : x
  2. Step 2: Convert to fraction form
    1,564.77/2,157.99 = 1,298.79/x
  3. Step 3: Cross multiply
    1,564.77x = 2,157.99 × 1,298.79
  4. Step 4: Simplify right side
    1,564.77x = 2,802,775.83
  5. Step 5: Solve for x
    x = 2,802,775.83/1,564.77
  6. Step 6: Final answer
    x = 1,791.17

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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.