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Finding the Fourth Proportional to 1,987.02, 2,980.53 and 526.19

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Solution

The fourth proportional to 1,987.02, 2,980.53 and 526.19 is: 789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.02 : 2,980.53 = 526.19 : x
  2. Step 2: Convert to fraction form
    1,987.02/2,980.53 = 526.19/x
  3. Step 3: Cross multiply
    1,987.02x = 2,980.53 × 526.19
  4. Step 4: Simplify right side
    1,987.02x = 1,568,310.18
  5. Step 5: Solve for x
    x = 1,568,310.18/1,987.02
  6. Step 6: Final answer
    x = 789.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.