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Finding the Fourth Proportional to 1,673.69, 2,509.76 and 893.48

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Solution

The fourth proportional to 1,673.69, 2,509.76 and 893.48 is: 1,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.69 : 2,509.76 = 893.48 : x
  2. Step 2: Convert to fraction form
    1,673.69/2,509.76 = 893.48/x
  3. Step 3: Cross multiply
    1,673.69x = 2,509.76 × 893.48
  4. Step 4: Simplify right side
    1,673.69x = 2,242,428.87
  5. Step 5: Solve for x
    x = 2,242,428.87/1,673.69
  6. Step 6: Final answer
    x = 1,339.81

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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.