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Finding the Fourth Proportional to 2,752.61, 4,128.77 and 973.55

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Solution

The fourth proportional to 2,752.61, 4,128.77 and 973.55 is: 1,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.61 : 4,128.77 = 973.55 : x
  2. Step 2: Convert to fraction form
    2,752.61/4,128.77 = 973.55/x
  3. Step 3: Cross multiply
    2,752.61x = 4,128.77 × 973.55
  4. Step 4: Simplify right side
    2,752.61x = 4,019,556.60
  5. Step 5: Solve for x
    x = 4,019,556.60/2,752.61
  6. Step 6: Final answer
    x = 1,460.27

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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.