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Finding the Fourth Proportional to 2,366.15, 3,548.16 and 904.28

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Solution

The fourth proportional to 2,366.15, 3,548.16 and 904.28 is: 1,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.15 : 3,548.16 = 904.28 : x
  2. Step 2: Convert to fraction form
    2,366.15/3,548.16 = 904.28/x
  3. Step 3: Cross multiply
    2,366.15x = 3,548.16 × 904.28
  4. Step 4: Simplify right side
    2,366.15x = 3,208,512.38
  5. Step 5: Solve for x
    x = 3,208,512.38/2,366.15
  6. Step 6: Final answer
    x = 1,356.01

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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.