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Finding the Fourth Proportional to 3,415.02, 4,714.65 and 2,089.50

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Solution

The fourth proportional to 3,415.02, 4,714.65 and 2,089.50 is: 2,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.02 : 4,714.65 = 2,089.50 : x
  2. Step 2: Convert to fraction form
    3,415.02/4,714.65 = 2,089.50/x
  3. Step 3: Cross multiply
    3,415.02x = 4,714.65 × 2,089.50
  4. Step 4: Simplify right side
    3,415.02x = 9,851,261.18
  5. Step 5: Solve for x
    x = 9,851,261.18/3,415.02
  6. Step 6: Final answer
    x = 2,884.69

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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.