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Finding the Fourth Proportional to 1,580.23, 2,370.57 and 592.96

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Solution

The fourth proportional to 1,580.23, 2,370.57 and 592.96 is: 889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.23 : 2,370.57 = 592.96 : x
  2. Step 2: Convert to fraction form
    1,580.23/2,370.57 = 592.96/x
  3. Step 3: Cross multiply
    1,580.23x = 2,370.57 × 592.96
  4. Step 4: Simplify right side
    1,580.23x = 1,405,653.19
  5. Step 5: Solve for x
    x = 1,405,653.19/1,580.23
  6. Step 6: Final answer
    x = 889.52

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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.