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Finding the Fourth Proportional to 2,050.74, 2,830.05 and 1,200.15

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Solution

The fourth proportional to 2,050.74, 2,830.05 and 1,200.15 is: 1,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.74 : 2,830.05 = 1,200.15 : x
  2. Step 2: Convert to fraction form
    2,050.74/2,830.05 = 1,200.15/x
  3. Step 3: Cross multiply
    2,050.74x = 2,830.05 × 1,200.15
  4. Step 4: Simplify right side
    2,050.74x = 3,396,484.51
  5. Step 5: Solve for x
    x = 3,396,484.51/2,050.74
  6. Step 6: Final answer
    x = 1,656.22

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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.