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Finding the Fourth Proportional to 2,054.47, 2,835.09 and 1,158.25

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Solution

The fourth proportional to 2,054.47, 2,835.09 and 1,158.25 is: 1,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.47 : 2,835.09 = 1,158.25 : x
  2. Step 2: Convert to fraction form
    2,054.47/2,835.09 = 1,158.25/x
  3. Step 3: Cross multiply
    2,054.47x = 2,835.09 × 1,158.25
  4. Step 4: Simplify right side
    2,054.47x = 3,283,742.99
  5. Step 5: Solve for x
    x = 3,283,742.99/2,054.47
  6. Step 6: Final answer
    x = 1,598.34

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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.