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Finding the Fourth Proportional to 2,341.71, 3,513.29 and 1,405.70

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Solution

The fourth proportional to 2,341.71, 3,513.29 and 1,405.70 is: 2,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.71 : 3,513.29 = 1,405.70 : x
  2. Step 2: Convert to fraction form
    2,341.71/3,513.29 = 1,405.70/x
  3. Step 3: Cross multiply
    2,341.71x = 3,513.29 × 1,405.70
  4. Step 4: Simplify right side
    2,341.71x = 4,938,644.05
  5. Step 5: Solve for x
    x = 4,938,644.05/2,341.71
  6. Step 6: Final answer
    x = 2,108.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.