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Finding the Fourth Proportional to 1,566.15, 2,349.06 and 641.81

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Solution

The fourth proportional to 1,566.15, 2,349.06 and 641.81 is: 962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.15 : 2,349.06 = 641.81 : x
  2. Step 2: Convert to fraction form
    1,566.15/2,349.06 = 641.81/x
  3. Step 3: Cross multiply
    1,566.15x = 2,349.06 × 641.81
  4. Step 4: Simplify right side
    1,566.15x = 1,507,638.45
  5. Step 5: Solve for x
    x = 1,507,638.45/1,566.15
  6. Step 6: Final answer
    x = 962.64

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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.