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Finding the Fourth Proportional to 1,742.74, 2,602.67 and 1,396.60

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Solution

The fourth proportional to 1,742.74, 2,602.67 and 1,396.60 is: 2,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.74 : 2,602.67 = 1,396.60 : x
  2. Step 2: Convert to fraction form
    1,742.74/2,602.67 = 1,396.60/x
  3. Step 3: Cross multiply
    1,742.74x = 2,602.67 × 1,396.60
  4. Step 4: Simplify right side
    1,742.74x = 3,634,888.92
  5. Step 5: Solve for x
    x = 3,634,888.92/1,742.74
  6. Step 6: Final answer
    x = 2,085.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.