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Finding the Fourth Proportional to 1,577.73, 2,176.65 and 914.45

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Solution

The fourth proportional to 1,577.73, 2,176.65 and 914.45 is: 1,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.73 : 2,176.65 = 914.45 : x
  2. Step 2: Convert to fraction form
    1,577.73/2,176.65 = 914.45/x
  3. Step 3: Cross multiply
    1,577.73x = 2,176.65 × 914.45
  4. Step 4: Simplify right side
    1,577.73x = 1,990,437.59
  5. Step 5: Solve for x
    x = 1,990,437.59/1,577.73
  6. Step 6: Final answer
    x = 1,261.58

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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.