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Finding the Fourth Proportional to 1,444.32, 2,164.62 and 924.12

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Solution

The fourth proportional to 1,444.32, 2,164.62 and 924.12 is: 1,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.32 : 2,164.62 = 924.12 : x
  2. Step 2: Convert to fraction form
    1,444.32/2,164.62 = 924.12/x
  3. Step 3: Cross multiply
    1,444.32x = 2,164.62 × 924.12
  4. Step 4: Simplify right side
    1,444.32x = 2,000,368.63
  5. Step 5: Solve for x
    x = 2,000,368.63/1,444.32
  6. Step 6: Final answer
    x = 1,384.99

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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.