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Finding the Fourth Proportional to 1,659.69, 2,289.06 and 1,547.91

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Solution

The fourth proportional to 1,659.69, 2,289.06 and 1,547.91 is: 2,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.69 : 2,289.06 = 1,547.91 : x
  2. Step 2: Convert to fraction form
    1,659.69/2,289.06 = 1,547.91/x
  3. Step 3: Cross multiply
    1,659.69x = 2,289.06 × 1,547.91
  4. Step 4: Simplify right side
    1,659.69x = 3,543,258.86
  5. Step 5: Solve for x
    x = 3,543,258.86/1,659.69
  6. Step 6: Final answer
    x = 2,134.89

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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.