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Finding the Fourth Proportional to 2,415.19, 3,622.98 and 954.00

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Solution

The fourth proportional to 2,415.19, 3,622.98 and 954.00 is: 1,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.19 : 3,622.98 = 954.00 : x
  2. Step 2: Convert to fraction form
    2,415.19/3,622.98 = 954.00/x
  3. Step 3: Cross multiply
    2,415.19x = 3,622.98 × 954.00
  4. Step 4: Simplify right side
    2,415.19x = 3,456,331.32
  5. Step 5: Solve for x
    x = 3,456,331.32/2,415.19
  6. Step 6: Final answer
    x = 1,431.08

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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.