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Finding the Fourth Proportional to 1,970.65, 2,720.76 and 1,225.62

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Solution

The fourth proportional to 1,970.65, 2,720.76 and 1,225.62 is: 1,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.65 : 2,720.76 = 1,225.62 : x
  2. Step 2: Convert to fraction form
    1,970.65/2,720.76 = 1,225.62/x
  3. Step 3: Cross multiply
    1,970.65x = 2,720.76 × 1,225.62
  4. Step 4: Simplify right side
    1,970.65x = 3,334,617.87
  5. Step 5: Solve for x
    x = 3,334,617.87/1,970.65
  6. Step 6: Final answer
    x = 1,692.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.