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Finding the Fourth Proportional to 1,583.07, 2,184.12 and 920.13

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Solution

The fourth proportional to 1,583.07, 2,184.12 and 920.13 is: 1,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.07 : 2,184.12 = 920.13 : x
  2. Step 2: Convert to fraction form
    1,583.07/2,184.12 = 920.13/x
  3. Step 3: Cross multiply
    1,583.07x = 2,184.12 × 920.13
  4. Step 4: Simplify right side
    1,583.07x = 2,009,674.34
  5. Step 5: Solve for x
    x = 2,009,674.34/1,583.07
  6. Step 6: Final answer
    x = 1,269.48

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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.