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Finding the Fourth Proportional to 1,897.68, 2,618.80 and 1,101.16

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Solution

The fourth proportional to 1,897.68, 2,618.80 and 1,101.16 is: 1,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.68 : 2,618.80 = 1,101.16 : x
  2. Step 2: Convert to fraction form
    1,897.68/2,618.80 = 1,101.16/x
  3. Step 3: Cross multiply
    1,897.68x = 2,618.80 × 1,101.16
  4. Step 4: Simplify right side
    1,897.68x = 2,883,717.81
  5. Step 5: Solve for x
    x = 2,883,717.81/1,897.68
  6. Step 6: Final answer
    x = 1,519.60

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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.