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Finding the Fourth Proportional to 1,847.70, 2,547.55 and 1,147.86

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Solution

The fourth proportional to 1,847.70, 2,547.55 and 1,147.86 is: 1,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.70 : 2,547.55 = 1,147.86 : x
  2. Step 2: Convert to fraction form
    1,847.70/2,547.55 = 1,147.86/x
  3. Step 3: Cross multiply
    1,847.70x = 2,547.55 × 1,147.86
  4. Step 4: Simplify right side
    1,847.70x = 2,924,218.01
  5. Step 5: Solve for x
    x = 2,924,218.01/1,847.70
  6. Step 6: Final answer
    x = 1,582.63

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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.