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Finding the Fourth Proportional to 1,564.93, 2,158.93 and 901.64

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Solution

The fourth proportional to 1,564.93, 2,158.93 and 901.64 is: 1,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.93 : 2,158.93 = 901.64 : x
  2. Step 2: Convert to fraction form
    1,564.93/2,158.93 = 901.64/x
  3. Step 3: Cross multiply
    1,564.93x = 2,158.93 × 901.64
  4. Step 4: Simplify right side
    1,564.93x = 1,946,577.65
  5. Step 5: Solve for x
    x = 1,946,577.65/1,564.93
  6. Step 6: Final answer
    x = 1,243.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.