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Finding the Fourth Proportional to 1,588.17, 2,190.96 and 924.64

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Solution

The fourth proportional to 1,588.17, 2,190.96 and 924.64 is: 1,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.17 : 2,190.96 = 924.64 : x
  2. Step 2: Convert to fraction form
    1,588.17/2,190.96 = 924.64/x
  3. Step 3: Cross multiply
    1,588.17x = 2,190.96 × 924.64
  4. Step 4: Simplify right side
    1,588.17x = 2,025,849.25
  5. Step 5: Solve for x
    x = 2,025,849.25/1,588.17
  6. Step 6: Final answer
    x = 1,275.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.