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Finding the Fourth Proportional to 1,742.95, 2,405.22 and 1,152.46

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Solution

The fourth proportional to 1,742.95, 2,405.22 and 1,152.46 is: 1,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.95 : 2,405.22 = 1,152.46 : x
  2. Step 2: Convert to fraction form
    1,742.95/2,405.22 = 1,152.46/x
  3. Step 3: Cross multiply
    1,742.95x = 2,405.22 × 1,152.46
  4. Step 4: Simplify right side
    1,742.95x = 2,771,919.84
  5. Step 5: Solve for x
    x = 2,771,919.84/1,742.95
  6. Step 6: Final answer
    x = 1,590.36

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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.