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Finding the Fourth Proportional to 2,130.01, 2,939.60 and 1,186.01

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Solution

The fourth proportional to 2,130.01, 2,939.60 and 1,186.01 is: 1,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.01 : 2,939.60 = 1,186.01 : x
  2. Step 2: Convert to fraction form
    2,130.01/2,939.60 = 1,186.01/x
  3. Step 3: Cross multiply
    2,130.01x = 2,939.60 × 1,186.01
  4. Step 4: Simplify right side
    2,130.01x = 3,486,402.16
  5. Step 5: Solve for x
    x = 3,486,402.16/2,130.01
  6. Step 6: Final answer
    x = 1,636.80

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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.