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Finding the Fourth Proportional to 1,444.56, 2,165.40 and 924.86

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Solution

The fourth proportional to 1,444.56, 2,165.40 and 924.86 is: 1,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.56 : 2,165.40 = 924.86 : x
  2. Step 2: Convert to fraction form
    1,444.56/2,165.40 = 924.86/x
  3. Step 3: Cross multiply
    1,444.56x = 2,165.40 × 924.86
  4. Step 4: Simplify right side
    1,444.56x = 2,002,681.02
  5. Step 5: Solve for x
    x = 2,002,681.02/1,444.56
  6. Step 6: Final answer
    x = 1,386.36

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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.