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Finding the Fourth Proportional to 2,130.76, 2,917.01 and 2,116.36

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Solution

The fourth proportional to 2,130.76, 2,917.01 and 2,116.36 is: 2,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.76 : 2,917.01 = 2,116.36 : x
  2. Step 2: Convert to fraction form
    2,130.76/2,917.01 = 2,116.36/x
  3. Step 3: Cross multiply
    2,130.76x = 2,917.01 × 2,116.36
  4. Step 4: Simplify right side
    2,130.76x = 6,173,443.28
  5. Step 5: Solve for x
    x = 6,173,443.28/2,130.76
  6. Step 6: Final answer
    x = 2,897.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.