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Finding the Fourth Proportional to 1,580.22, 2,370.60 and 592.95

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Solution

The fourth proportional to 1,580.22, 2,370.60 and 592.95 is: 889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.22 : 2,370.60 = 592.95 : x
  2. Step 2: Convert to fraction form
    1,580.22/2,370.60 = 592.95/x
  3. Step 3: Cross multiply
    1,580.22x = 2,370.60 × 592.95
  4. Step 4: Simplify right side
    1,580.22x = 1,405,647.27
  5. Step 5: Solve for x
    x = 1,405,647.27/1,580.22
  6. Step 6: Final answer
    x = 889.53

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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.