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Finding the Fourth Proportional to 1,416.66, 1,953.63 and 1,206.60

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Solution

The fourth proportional to 1,416.66, 1,953.63 and 1,206.60 is: 1,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.66 : 1,953.63 = 1,206.60 : x
  2. Step 2: Convert to fraction form
    1,416.66/1,953.63 = 1,206.60/x
  3. Step 3: Cross multiply
    1,416.66x = 1,953.63 × 1,206.60
  4. Step 4: Simplify right side
    1,416.66x = 2,357,249.96
  5. Step 5: Solve for x
    x = 2,357,249.96/1,416.66
  6. Step 6: Final answer
    x = 1,663.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.