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Finding the Fourth Proportional to 1,566.30, 2,349.45 and 1,310.30

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Solution

The fourth proportional to 1,566.30, 2,349.45 and 1,310.30 is: 1,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.30 : 2,349.45 = 1,310.30 : x
  2. Step 2: Convert to fraction form
    1,566.30/2,349.45 = 1,310.30/x
  3. Step 3: Cross multiply
    1,566.30x = 2,349.45 × 1,310.30
  4. Step 4: Simplify right side
    1,566.30x = 3,078,484.34
  5. Step 5: Solve for x
    x = 3,078,484.34/1,566.30
  6. Step 6: Final answer
    x = 1,965.45

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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.