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Finding the Fourth Proportional to 3,089.90, 4,634.34 and 1,009.87

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Solution

The fourth proportional to 3,089.90, 4,634.34 and 1,009.87 is: 1,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.90 : 4,634.34 = 1,009.87 : x
  2. Step 2: Convert to fraction form
    3,089.90/4,634.34 = 1,009.87/x
  3. Step 3: Cross multiply
    3,089.90x = 4,634.34 × 1,009.87
  4. Step 4: Simplify right side
    3,089.90x = 4,680,068.40
  5. Step 5: Solve for x
    x = 4,680,068.40/3,089.90
  6. Step 6: Final answer
    x = 1,514.64

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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.