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Finding the Fourth Proportional to 2,406.38, 3,607.06 and 1,746.60

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Solution

The fourth proportional to 2,406.38, 3,607.06 and 1,746.60 is: 2,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.38 : 3,607.06 = 1,746.60 : x
  2. Step 2: Convert to fraction form
    2,406.38/3,607.06 = 1,746.60/x
  3. Step 3: Cross multiply
    2,406.38x = 3,607.06 × 1,746.60
  4. Step 4: Simplify right side
    2,406.38x = 6,300,091.00
  5. Step 5: Solve for x
    x = 6,300,091.00/2,406.38
  6. Step 6: Final answer
    x = 2,618.08

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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.