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Finding the Fourth Proportional to 2,059.47, 2,840.91 and 1,263.18

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Solution

The fourth proportional to 2,059.47, 2,840.91 and 1,263.18 is: 1,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.47 : 2,840.91 = 1,263.18 : x
  2. Step 2: Convert to fraction form
    2,059.47/2,840.91 = 1,263.18/x
  3. Step 3: Cross multiply
    2,059.47x = 2,840.91 × 1,263.18
  4. Step 4: Simplify right side
    2,059.47x = 3,588,580.69
  5. Step 5: Solve for x
    x = 3,588,580.69/2,059.47
  6. Step 6: Final answer
    x = 1,742.48

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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.