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Finding the Fourth Proportional to 2,435.06, 3,646.62 and 2,373.10

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Solution

The fourth proportional to 2,435.06, 3,646.62 and 2,373.10 is: 3,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.06 : 3,646.62 = 2,373.10 : x
  2. Step 2: Convert to fraction form
    2,435.06/3,646.62 = 2,373.10/x
  3. Step 3: Cross multiply
    2,435.06x = 3,646.62 × 2,373.10
  4. Step 4: Simplify right side
    2,435.06x = 8,653,784.81
  5. Step 5: Solve for x
    x = 8,653,784.81/2,435.06
  6. Step 6: Final answer
    x = 3,553.82

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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.