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Finding the Fourth Proportional to 2,051.59, 2,830.93 and 1,155.22

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Solution

The fourth proportional to 2,051.59, 2,830.93 and 1,155.22 is: 1,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.59 : 2,830.93 = 1,155.22 : x
  2. Step 2: Convert to fraction form
    2,051.59/2,830.93 = 1,155.22/x
  3. Step 3: Cross multiply
    2,051.59x = 2,830.93 × 1,155.22
  4. Step 4: Simplify right side
    2,051.59x = 3,270,346.95
  5. Step 5: Solve for x
    x = 3,270,346.95/2,051.59
  6. Step 6: Final answer
    x = 1,594.05

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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.