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Finding the Fourth Proportional to 2,830.37, 4,242.06 and 2,053.04

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Solution

The fourth proportional to 2,830.37, 4,242.06 and 2,053.04 is: 3,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.37 : 4,242.06 = 2,053.04 : x
  2. Step 2: Convert to fraction form
    2,830.37/4,242.06 = 2,053.04/x
  3. Step 3: Cross multiply
    2,830.37x = 4,242.06 × 2,053.04
  4. Step 4: Simplify right side
    2,830.37x = 8,709,118.86
  5. Step 5: Solve for x
    x = 8,709,118.86/2,830.37
  6. Step 6: Final answer
    x = 3,077.02

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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.