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Finding the Fourth Proportional to 2,051.07, 2,829.52 and 1,211.20

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Solution

The fourth proportional to 2,051.07, 2,829.52 and 1,211.20 is: 1,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.07 : 2,829.52 = 1,211.20 : x
  2. Step 2: Convert to fraction form
    2,051.07/2,829.52 = 1,211.20/x
  3. Step 3: Cross multiply
    2,051.07x = 2,829.52 × 1,211.20
  4. Step 4: Simplify right side
    2,051.07x = 3,427,118.67
  5. Step 5: Solve for x
    x = 3,427,118.67/2,051.07
  6. Step 6: Final answer
    x = 1,670.89

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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.