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Finding the Fourth Proportional to 1,673.15, 2,509.91 and 577.39

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Solution

The fourth proportional to 1,673.15, 2,509.91 and 577.39 is: 866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.15 : 2,509.91 = 577.39 : x
  2. Step 2: Convert to fraction form
    1,673.15/2,509.91 = 577.39/x
  3. Step 3: Cross multiply
    1,673.15x = 2,509.91 × 577.39
  4. Step 4: Simplify right side
    1,673.15x = 1,449,196.93
  5. Step 5: Solve for x
    x = 1,449,196.93/1,673.15
  6. Step 6: Final answer
    x = 866.15

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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.