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Finding the Fourth Proportional to 1,647.58, 2,270.54 and 1,122.70

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Solution

The fourth proportional to 1,647.58, 2,270.54 and 1,122.70 is: 1,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.58 : 2,270.54 = 1,122.70 : x
  2. Step 2: Convert to fraction form
    1,647.58/2,270.54 = 1,122.70/x
  3. Step 3: Cross multiply
    1,647.58x = 2,270.54 × 1,122.70
  4. Step 4: Simplify right side
    1,647.58x = 2,549,135.26
  5. Step 5: Solve for x
    x = 2,549,135.26/1,647.58
  6. Step 6: Final answer
    x = 1,547.20

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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.