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Finding the Fourth Proportional to 2,030.58, 2,801.88 and 1,191.15

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Solution

The fourth proportional to 2,030.58, 2,801.88 and 1,191.15 is: 1,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.58 : 2,801.88 = 1,191.15 : x
  2. Step 2: Convert to fraction form
    2,030.58/2,801.88 = 1,191.15/x
  3. Step 3: Cross multiply
    2,030.58x = 2,801.88 × 1,191.15
  4. Step 4: Simplify right side
    2,030.58x = 3,337,459.36
  5. Step 5: Solve for x
    x = 3,337,459.36/2,030.58
  6. Step 6: Final answer
    x = 1,643.60

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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.