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Finding the Fourth Proportional to 1,574.94, 2,362.44 and 601.14

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Solution

The fourth proportional to 1,574.94, 2,362.44 and 601.14 is: 901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.94 : 2,362.44 = 601.14 : x
  2. Step 2: Convert to fraction form
    1,574.94/2,362.44 = 601.14/x
  3. Step 3: Cross multiply
    1,574.94x = 2,362.44 × 601.14
  4. Step 4: Simplify right side
    1,574.94x = 1,420,157.18
  5. Step 5: Solve for x
    x = 1,420,157.18/1,574.94
  6. Step 6: Final answer
    x = 901.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.