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Finding the Fourth Proportional to 1,690.24, 2,533.20 and 715.36

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Solution

The fourth proportional to 1,690.24, 2,533.20 and 715.36 is: 1,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.24 : 2,533.20 = 715.36 : x
  2. Step 2: Convert to fraction form
    1,690.24/2,533.20 = 715.36/x
  3. Step 3: Cross multiply
    1,690.24x = 2,533.20 × 715.36
  4. Step 4: Simplify right side
    1,690.24x = 1,812,149.95
  5. Step 5: Solve for x
    x = 1,812,149.95/1,690.24
  6. Step 6: Final answer
    x = 1,072.13

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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.