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Finding the Fourth Proportional to 1,924, 2,655.36 and 1,457.44

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Solution

The fourth proportional to 1,924, 2,655.36 and 1,457.44 is: 2,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924 : 2,655.36 = 1,457.44 : x
  2. Step 2: Convert to fraction form
    1,924/2,655.36 = 1,457.44/x
  3. Step 3: Cross multiply
    1,924x = 2,655.36 × 1,457.44
  4. Step 4: Simplify right side
    1,924x = 3,870,027.88
  5. Step 5: Solve for x
    x = 3,870,027.88/1,924
  6. Step 6: Final answer
    x = 2,011.45

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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.