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Finding the Fourth Proportional to 3,130.64, 4,320.34 and 1,714.31

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Solution

The fourth proportional to 3,130.64, 4,320.34 and 1,714.31 is: 2,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.64 : 4,320.34 = 1,714.31 : x
  2. Step 2: Convert to fraction form
    3,130.64/4,320.34 = 1,714.31/x
  3. Step 3: Cross multiply
    3,130.64x = 4,320.34 × 1,714.31
  4. Step 4: Simplify right side
    3,130.64x = 7,406,376.18
  5. Step 5: Solve for x
    x = 7,406,376.18/3,130.64
  6. Step 6: Final answer
    x = 2,365.77

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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.