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Finding the Fourth Proportional to 1,743.77, 2,408.54 and 1,303.63

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Solution

The fourth proportional to 1,743.77, 2,408.54 and 1,303.63 is: 1,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.77 : 2,408.54 = 1,303.63 : x
  2. Step 2: Convert to fraction form
    1,743.77/2,408.54 = 1,303.63/x
  3. Step 3: Cross multiply
    1,743.77x = 2,408.54 × 1,303.63
  4. Step 4: Simplify right side
    1,743.77x = 3,139,832.46
  5. Step 5: Solve for x
    x = 3,139,832.46/1,743.77
  6. Step 6: Final answer
    x = 1,800.60

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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.