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Finding the Fourth Proportional to 1,981.80, 2,969.88 and 1,457.72

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Solution

The fourth proportional to 1,981.80, 2,969.88 and 1,457.72 is: 2,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.80 : 2,969.88 = 1,457.72 : x
  2. Step 2: Convert to fraction form
    1,981.80/2,969.88 = 1,457.72/x
  3. Step 3: Cross multiply
    1,981.80x = 2,969.88 × 1,457.72
  4. Step 4: Simplify right side
    1,981.80x = 4,329,253.47
  5. Step 5: Solve for x
    x = 4,329,253.47/1,981.80
  6. Step 6: Final answer
    x = 2,184.51

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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.