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Finding the Fourth Proportional to 1,566.15, 2,346.59 and 947.99

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Solution

The fourth proportional to 1,566.15, 2,346.59 and 947.99 is: 1,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.15 : 2,346.59 = 947.99 : x
  2. Step 2: Convert to fraction form
    1,566.15/2,346.59 = 947.99/x
  3. Step 3: Cross multiply
    1,566.15x = 2,346.59 × 947.99
  4. Step 4: Simplify right side
    1,566.15x = 2,224,527.38
  5. Step 5: Solve for x
    x = 2,224,527.38/1,566.15
  6. Step 6: Final answer
    x = 1,420.38

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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.