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Finding the Fourth Proportional to 1,838.40, 2,758.80 and 973.36

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Solution

The fourth proportional to 1,838.40, 2,758.80 and 973.36 is: 1,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.40 : 2,758.80 = 973.36 : x
  2. Step 2: Convert to fraction form
    1,838.40/2,758.80 = 973.36/x
  3. Step 3: Cross multiply
    1,838.40x = 2,758.80 × 973.36
  4. Step 4: Simplify right side
    1,838.40x = 2,685,305.57
  5. Step 5: Solve for x
    x = 2,685,305.57/1,838.40
  6. Step 6: Final answer
    x = 1,460.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.