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Finding the Fourth Proportional to 1,182.01, 1,632.05 and 1,015.93

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Solution

The fourth proportional to 1,182.01, 1,632.05 and 1,015.93 is: 1,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.01 : 1,632.05 = 1,015.93 : x
  2. Step 2: Convert to fraction form
    1,182.01/1,632.05 = 1,015.93/x
  3. Step 3: Cross multiply
    1,182.01x = 1,632.05 × 1,015.93
  4. Step 4: Simplify right side
    1,182.01x = 1,658,047.03
  5. Step 5: Solve for x
    x = 1,658,047.03/1,182.01
  6. Step 6: Final answer
    x = 1,402.74

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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.