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Finding the Fourth Proportional to 2,451.59, 3,384.29 and 1,457.19

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Solution

The fourth proportional to 2,451.59, 3,384.29 and 1,457.19 is: 2,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.59 : 3,384.29 = 1,457.19 : x
  2. Step 2: Convert to fraction form
    2,451.59/3,384.29 = 1,457.19/x
  3. Step 3: Cross multiply
    2,451.59x = 3,384.29 × 1,457.19
  4. Step 4: Simplify right side
    2,451.59x = 4,931,546.26
  5. Step 5: Solve for x
    x = 4,931,546.26/2,451.59
  6. Step 6: Final answer
    x = 2,011.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.