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Finding the Fourth Proportional to 2,598.48, 3,582 and 2,242.80

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Solution

The fourth proportional to 2,598.48, 3,582 and 2,242.80 is: 3,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.48 : 3,582 = 2,242.80 : x
  2. Step 2: Convert to fraction form
    2,598.48/3,582 = 2,242.80/x
  3. Step 3: Cross multiply
    2,598.48x = 3,582 × 2,242.80
  4. Step 4: Simplify right side
    2,598.48x = 8,033,709.60
  5. Step 5: Solve for x
    x = 8,033,709.60/2,598.48
  6. Step 6: Final answer
    x = 3,091.70

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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.