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Finding the Fourth Proportional to 1,742.42, 2,404.77 and 1,123.22

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Solution

The fourth proportional to 1,742.42, 2,404.77 and 1,123.22 is: 1,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.42 : 2,404.77 = 1,123.22 : x
  2. Step 2: Convert to fraction form
    1,742.42/2,404.77 = 1,123.22/x
  3. Step 3: Cross multiply
    1,742.42x = 2,404.77 × 1,123.22
  4. Step 4: Simplify right side
    1,742.42x = 2,701,085.76
  5. Step 5: Solve for x
    x = 2,701,085.76/1,742.42
  6. Step 6: Final answer
    x = 1,550.19

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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.