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Finding the Fourth Proportional to 1,574.64, 2,362.47 and 651.98

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Solution

The fourth proportional to 1,574.64, 2,362.47 and 651.98 is: 978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.64 : 2,362.47 = 651.98 : x
  2. Step 2: Convert to fraction form
    1,574.64/2,362.47 = 651.98/x
  3. Step 3: Cross multiply
    1,574.64x = 2,362.47 × 651.98
  4. Step 4: Simplify right side
    1,574.64x = 1,540,286.65
  5. Step 5: Solve for x
    x = 1,540,286.65/1,574.64
  6. Step 6: Final answer
    x = 978.18

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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.