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Finding the Fourth Proportional to 2,412.14, 3,641.14 and 2,386.22

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Solution

The fourth proportional to 2,412.14, 3,641.14 and 2,386.22 is: 3,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.14 : 3,641.14 = 2,386.22 : x
  2. Step 2: Convert to fraction form
    2,412.14/3,641.14 = 2,386.22/x
  3. Step 3: Cross multiply
    2,412.14x = 3,641.14 × 2,386.22
  4. Step 4: Simplify right side
    2,412.14x = 8,688,561.09
  5. Step 5: Solve for x
    x = 8,688,561.09/2,412.14
  6. Step 6: Final answer
    x = 3,602.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.