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Finding the Fourth Proportional to 1,897.16, 2,618.17 and 1,057.93

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Solution

The fourth proportional to 1,897.16, 2,618.17 and 1,057.93 is: 1,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.16 : 2,618.17 = 1,057.93 : x
  2. Step 2: Convert to fraction form
    1,897.16/2,618.17 = 1,057.93/x
  3. Step 3: Cross multiply
    1,897.16x = 2,618.17 × 1,057.93
  4. Step 4: Simplify right side
    1,897.16x = 2,769,831.40
  5. Step 5: Solve for x
    x = 2,769,831.40/1,897.16
  6. Step 6: Final answer
    x = 1,459.99

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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.