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Finding the Fourth Proportional to 1,970.70, 2,718.61 and 1,225.53

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Solution

The fourth proportional to 1,970.70, 2,718.61 and 1,225.53 is: 1,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.70 : 2,718.61 = 1,225.53 : x
  2. Step 2: Convert to fraction form
    1,970.70/2,718.61 = 1,225.53/x
  3. Step 3: Cross multiply
    1,970.70x = 2,718.61 × 1,225.53
  4. Step 4: Simplify right side
    1,970.70x = 3,331,741.94
  5. Step 5: Solve for x
    x = 3,331,741.94/1,970.70
  6. Step 6: Final answer
    x = 1,690.64

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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.