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Finding the Fourth Proportional to 2,972.53, 4,461.50 and 1,328.77

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Solution

The fourth proportional to 2,972.53, 4,461.50 and 1,328.77 is: 1,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.53 : 4,461.50 = 1,328.77 : x
  2. Step 2: Convert to fraction form
    2,972.53/4,461.50 = 1,328.77/x
  3. Step 3: Cross multiply
    2,972.53x = 4,461.50 × 1,328.77
  4. Step 4: Simplify right side
    2,972.53x = 5,928,307.36
  5. Step 5: Solve for x
    x = 5,928,307.36/2,972.53
  6. Step 6: Final answer
    x = 1,994.36

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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.