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Finding the Fourth Proportional to 2,366.04, 3,548.46 and 904.76

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Solution

The fourth proportional to 2,366.04, 3,548.46 and 904.76 is: 1,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.04 : 3,548.46 = 904.76 : x
  2. Step 2: Convert to fraction form
    2,366.04/3,548.46 = 904.76/x
  3. Step 3: Cross multiply
    2,366.04x = 3,548.46 × 904.76
  4. Step 4: Simplify right side
    2,366.04x = 3,210,504.67
  5. Step 5: Solve for x
    x = 3,210,504.67/2,366.04
  6. Step 6: Final answer
    x = 1,356.91

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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.