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Finding the Fourth Proportional to 1,913.81, 2,870.69 and 1,047.65

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Solution

The fourth proportional to 1,913.81, 2,870.69 and 1,047.65 is: 1,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.81 : 2,870.69 = 1,047.65 : x
  2. Step 2: Convert to fraction form
    1,913.81/2,870.69 = 1,047.65/x
  3. Step 3: Cross multiply
    1,913.81x = 2,870.69 × 1,047.65
  4. Step 4: Simplify right side
    1,913.81x = 3,007,473.14
  5. Step 5: Solve for x
    x = 3,007,473.14/1,913.81
  6. Step 6: Final answer
    x = 1,571.46

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Why These Related Problems?

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