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Finding the Fourth Proportional to 1,656.70, 2,484.15 and 616.66

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Solution

The fourth proportional to 1,656.70, 2,484.15 and 616.66 is: 924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.70 : 2,484.15 = 616.66 : x
  2. Step 2: Convert to fraction form
    1,656.70/2,484.15 = 616.66/x
  3. Step 3: Cross multiply
    1,656.70x = 2,484.15 × 616.66
  4. Step 4: Simplify right side
    1,656.70x = 1,531,875.94
  5. Step 5: Solve for x
    x = 1,531,875.94/1,656.70
  6. Step 6: Final answer
    x = 924.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.