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Finding the Fourth Proportional to 1,987.67, 2,981.45 and 526.84

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Solution

The fourth proportional to 1,987.67, 2,981.45 and 526.84 is: 790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.67 : 2,981.45 = 526.84 : x
  2. Step 2: Convert to fraction form
    1,987.67/2,981.45 = 526.84/x
  3. Step 3: Cross multiply
    1,987.67x = 2,981.45 × 526.84
  4. Step 4: Simplify right side
    1,987.67x = 1,570,747.12
  5. Step 5: Solve for x
    x = 1,570,747.12/1,987.67
  6. Step 6: Final answer
    x = 790.25

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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.