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Finding the Fourth Proportional to 2,349.60, 3,242.05 and 1,405.77

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Solution

The fourth proportional to 2,349.60, 3,242.05 and 1,405.77 is: 1,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.60 : 3,242.05 = 1,405.77 : x
  2. Step 2: Convert to fraction form
    2,349.60/3,242.05 = 1,405.77/x
  3. Step 3: Cross multiply
    2,349.60x = 3,242.05 × 1,405.77
  4. Step 4: Simplify right side
    2,349.60x = 4,557,576.63
  5. Step 5: Solve for x
    x = 4,557,576.63/2,349.60
  6. Step 6: Final answer
    x = 1,939.72

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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.