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Finding the Fourth Proportional to 1,937.40, 2,673.63 and 1,053.18

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Solution

The fourth proportional to 1,937.40, 2,673.63 and 1,053.18 is: 1,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.40 : 2,673.63 = 1,053.18 : x
  2. Step 2: Convert to fraction form
    1,937.40/2,673.63 = 1,053.18/x
  3. Step 3: Cross multiply
    1,937.40x = 2,673.63 × 1,053.18
  4. Step 4: Simplify right side
    1,937.40x = 2,815,813.64
  5. Step 5: Solve for x
    x = 2,815,813.64/1,937.40
  6. Step 6: Final answer
    x = 1,453.40

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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.