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Finding the Fourth Proportional to 1,573.72, 2,359.68 and 1,054.34

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Solution

The fourth proportional to 1,573.72, 2,359.68 and 1,054.34 is: 1,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.72 : 2,359.68 = 1,054.34 : x
  2. Step 2: Convert to fraction form
    1,573.72/2,359.68 = 1,054.34/x
  3. Step 3: Cross multiply
    1,573.72x = 2,359.68 × 1,054.34
  4. Step 4: Simplify right side
    1,573.72x = 2,487,905.01
  5. Step 5: Solve for x
    x = 2,487,905.01/1,573.72
  6. Step 6: Final answer
    x = 1,580.91

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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.