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Finding the Fourth Proportional to 2,700.32, 4,051.65 and 946.58

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Solution

The fourth proportional to 2,700.32, 4,051.65 and 946.58 is: 1,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.32 : 4,051.65 = 946.58 : x
  2. Step 2: Convert to fraction form
    2,700.32/4,051.65 = 946.58/x
  3. Step 3: Cross multiply
    2,700.32x = 4,051.65 × 946.58
  4. Step 4: Simplify right side
    2,700.32x = 3,835,190.60
  5. Step 5: Solve for x
    x = 3,835,190.60/2,700.32
  6. Step 6: Final answer
    x = 1,420.28

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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.