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Finding the Fourth Proportional to 2,916.99, 4,373.22 and 1,457.16

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Solution

The fourth proportional to 2,916.99, 4,373.22 and 1,457.16 is: 2,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.99 : 4,373.22 = 1,457.16 : x
  2. Step 2: Convert to fraction form
    2,916.99/4,373.22 = 1,457.16/x
  3. Step 3: Cross multiply
    2,916.99x = 4,373.22 × 1,457.16
  4. Step 4: Simplify right side
    2,916.99x = 6,372,481.26
  5. Step 5: Solve for x
    x = 6,372,481.26/2,916.99
  6. Step 6: Final answer
    x = 2,184.61

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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.