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Finding the Fourth Proportional to 1,588.40, 2,191.89 and 933.00

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Solution

The fourth proportional to 1,588.40, 2,191.89 and 933.00 is: 1,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.40 : 2,191.89 = 933.00 : x
  2. Step 2: Convert to fraction form
    1,588.40/2,191.89 = 933.00/x
  3. Step 3: Cross multiply
    1,588.40x = 2,191.89 × 933.00
  4. Step 4: Simplify right side
    1,588.40x = 2,045,033.78
  5. Step 5: Solve for x
    x = 2,045,033.78/1,588.40
  6. Step 6: Final answer
    x = 1,287.48

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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.