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Finding the Fourth Proportional to 1,465.52, 2,196.36 and 1,384.88

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Solution

The fourth proportional to 1,465.52, 2,196.36 and 1,384.88 is: 2,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.52 : 2,196.36 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    1,465.52/2,196.36 = 1,384.88/x
  3. Step 3: Cross multiply
    1,465.52x = 2,196.36 × 1,384.88
  4. Step 4: Simplify right side
    1,465.52x = 3,041,695.04
  5. Step 5: Solve for x
    x = 3,041,695.04/1,465.52
  6. Step 6: Final answer
    x = 2,075.51

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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.