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Finding the Fourth Proportional to 2,973.47, 4,460.31 and 1,412.67

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Solution

The fourth proportional to 2,973.47, 4,460.31 and 1,412.67 is: 2,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.47 : 4,460.31 = 1,412.67 : x
  2. Step 2: Convert to fraction form
    2,973.47/4,460.31 = 1,412.67/x
  3. Step 3: Cross multiply
    2,973.47x = 4,460.31 × 1,412.67
  4. Step 4: Simplify right side
    2,973.47x = 6,300,939.06
  5. Step 5: Solve for x
    x = 6,300,939.06/2,973.47
  6. Step 6: Final answer
    x = 2,119.05

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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.