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Finding the Fourth Proportional to 2,972.16, 4,457.32 and 2,053.62

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Solution

The fourth proportional to 2,972.16, 4,457.32 and 2,053.62 is: 3,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.16 : 4,457.32 = 2,053.62 : x
  2. Step 2: Convert to fraction form
    2,972.16/4,457.32 = 2,053.62/x
  3. Step 3: Cross multiply
    2,972.16x = 4,457.32 × 2,053.62
  4. Step 4: Simplify right side
    2,972.16x = 9,153,641.50
  5. Step 5: Solve for x
    x = 9,153,641.50/2,972.16
  6. Step 6: Final answer
    x = 3,079.79

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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.