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Finding the Fourth Proportional to 2,009.69, 3,017.12 and 1,547.78

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Solution

The fourth proportional to 2,009.69, 3,017.12 and 1,547.78 is: 2,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.69 : 3,017.12 = 1,547.78 : x
  2. Step 2: Convert to fraction form
    2,009.69/3,017.12 = 1,547.78/x
  3. Step 3: Cross multiply
    2,009.69x = 3,017.12 × 1,547.78
  4. Step 4: Simplify right side
    2,009.69x = 4,669,853.69
  5. Step 5: Solve for x
    x = 4,669,853.69/2,009.69
  6. Step 6: Final answer
    x = 2,323.67

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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.