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Finding the Fourth Proportional to 1,444.64, 2,170.53 and 924.87

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Solution

The fourth proportional to 1,444.64, 2,170.53 and 924.87 is: 1,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.64 : 2,170.53 = 924.87 : x
  2. Step 2: Convert to fraction form
    1,444.64/2,170.53 = 924.87/x
  3. Step 3: Cross multiply
    1,444.64x = 2,170.53 × 924.87
  4. Step 4: Simplify right side
    1,444.64x = 2,007,458.08
  5. Step 5: Solve for x
    x = 2,007,458.08/1,444.64
  6. Step 6: Final answer
    x = 1,389.59

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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.