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Finding the Fourth Proportional to 1,186.47, 1,637.37 and 1,038.84

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Solution

The fourth proportional to 1,186.47, 1,637.37 and 1,038.84 is: 1,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.47 : 1,637.37 = 1,038.84 : x
  2. Step 2: Convert to fraction form
    1,186.47/1,637.37 = 1,038.84/x
  3. Step 3: Cross multiply
    1,186.47x = 1,637.37 × 1,038.84
  4. Step 4: Simplify right side
    1,186.47x = 1,700,965.45
  5. Step 5: Solve for x
    x = 1,700,965.45/1,186.47
  6. Step 6: Final answer
    x = 1,433.64

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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.