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Finding the Fourth Proportional to 1,676.19, 2,502.02 and 1,552.50

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Solution

The fourth proportional to 1,676.19, 2,502.02 and 1,552.50 is: 2,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.19 : 2,502.02 = 1,552.50 : x
  2. Step 2: Convert to fraction form
    1,676.19/2,502.02 = 1,552.50/x
  3. Step 3: Cross multiply
    1,676.19x = 2,502.02 × 1,552.50
  4. Step 4: Simplify right side
    1,676.19x = 3,884,389.93
  5. Step 5: Solve for x
    x = 3,884,389.93/1,676.19
  6. Step 6: Final answer
    x = 2,317.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.