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Finding the Fourth Proportional to 1,838.64, 2,744.58 and 1,703.28

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Solution

The fourth proportional to 1,838.64, 2,744.58 and 1,703.28 is: 2,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.64 : 2,744.58 = 1,703.28 : x
  2. Step 2: Convert to fraction form
    1,838.64/2,744.58 = 1,703.28/x
  3. Step 3: Cross multiply
    1,838.64x = 2,744.58 × 1,703.28
  4. Step 4: Simplify right side
    1,838.64x = 4,674,788.22
  5. Step 5: Solve for x
    x = 4,674,788.22/1,838.64
  6. Step 6: Final answer
    x = 2,542.53

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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.