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Finding the Fourth Proportional to 4,203.64, 6,306.90 and 1,607.32

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Solution

The fourth proportional to 4,203.64, 6,306.90 and 1,607.32 is: 2,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.64 : 6,306.90 = 1,607.32 : x
  2. Step 2: Convert to fraction form
    4,203.64/6,306.90 = 1,607.32/x
  3. Step 3: Cross multiply
    4,203.64x = 6,306.90 × 1,607.32
  4. Step 4: Simplify right side
    4,203.64x = 10,137,206.51
  5. Step 5: Solve for x
    x = 10,137,206.51/4,203.64
  6. Step 6: Final answer
    x = 2,411.53

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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.