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Finding the Fourth Proportional to 1,566.35, 2,349.15 and 906.80

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Solution

The fourth proportional to 1,566.35, 2,349.15 and 906.80 is: 1,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.35 : 2,349.15 = 906.80 : x
  2. Step 2: Convert to fraction form
    1,566.35/2,349.15 = 906.80/x
  3. Step 3: Cross multiply
    1,566.35x = 2,349.15 × 906.80
  4. Step 4: Simplify right side
    1,566.35x = 2,130,209.22
  5. Step 5: Solve for x
    x = 2,130,209.22/1,566.35
  6. Step 6: Final answer
    x = 1,359.98

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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.