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Finding the Fourth Proportional to 2,345.34, 3,235.14 and 1,400.48

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Solution

The fourth proportional to 2,345.34, 3,235.14 and 1,400.48 is: 1,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.34 : 3,235.14 = 1,400.48 : x
  2. Step 2: Convert to fraction form
    2,345.34/3,235.14 = 1,400.48/x
  3. Step 3: Cross multiply
    2,345.34x = 3,235.14 × 1,400.48
  4. Step 4: Simplify right side
    2,345.34x = 4,530,748.87
  5. Step 5: Solve for x
    x = 4,530,748.87/2,345.34
  6. Step 6: Final answer
    x = 1,931.81

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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.