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Finding the Fourth Proportional to 1,676.51, 2,497.03 and 1,588.69

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Solution

The fourth proportional to 1,676.51, 2,497.03 and 1,588.69 is: 2,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.51 : 2,497.03 = 1,588.69 : x
  2. Step 2: Convert to fraction form
    1,676.51/2,497.03 = 1,588.69/x
  3. Step 3: Cross multiply
    1,676.51x = 2,497.03 × 1,588.69
  4. Step 4: Simplify right side
    1,676.51x = 3,967,006.59
  5. Step 5: Solve for x
    x = 3,967,006.59/1,676.51
  6. Step 6: Final answer
    x = 2,366.23

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