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Finding the Fourth Proportional to 1,656.06, 2,484.09 and 616.02

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Solution

The fourth proportional to 1,656.06, 2,484.09 and 616.02 is: 924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.06 : 2,484.09 = 616.02 : x
  2. Step 2: Convert to fraction form
    1,656.06/2,484.09 = 616.02/x
  3. Step 3: Cross multiply
    1,656.06x = 2,484.09 × 616.02
  4. Step 4: Simplify right side
    1,656.06x = 1,530,249.12
  5. Step 5: Solve for x
    x = 1,530,249.12/1,656.06
  6. Step 6: Final answer
    x = 924.03

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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.