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Finding the Fourth Proportional to 2,366.12, 3,549.38 and 904.47

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Solution

The fourth proportional to 2,366.12, 3,549.38 and 904.47 is: 1,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.12 : 3,549.38 = 904.47 : x
  2. Step 2: Convert to fraction form
    2,366.12/3,549.38 = 904.47/x
  3. Step 3: Cross multiply
    2,366.12x = 3,549.38 × 904.47
  4. Step 4: Simplify right side
    2,366.12x = 3,210,303.21
  5. Step 5: Solve for x
    x = 3,210,303.21/2,366.12
  6. Step 6: Final answer
    x = 1,356.78

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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.