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Finding the Fourth Proportional to 2,384.19, 3,574.24 and 924.37

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Solution

The fourth proportional to 2,384.19, 3,574.24 and 924.37 is: 1,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.19 : 3,574.24 = 924.37 : x
  2. Step 2: Convert to fraction form
    2,384.19/3,574.24 = 924.37/x
  3. Step 3: Cross multiply
    2,384.19x = 3,574.24 × 924.37
  4. Step 4: Simplify right side
    2,384.19x = 3,303,920.23
  5. Step 5: Solve for x
    x = 3,303,920.23/2,384.19
  6. Step 6: Final answer
    x = 1,385.76

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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.