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Finding the Fourth Proportional to 2,598.71, 3,897.29 and 1,365.45

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Solution

The fourth proportional to 2,598.71, 3,897.29 and 1,365.45 is: 2,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.71 : 3,897.29 = 1,365.45 : x
  2. Step 2: Convert to fraction form
    2,598.71/3,897.29 = 1,365.45/x
  3. Step 3: Cross multiply
    2,598.71x = 3,897.29 × 1,365.45
  4. Step 4: Simplify right side
    2,598.71x = 5,321,547.80
  5. Step 5: Solve for x
    x = 5,321,547.80/2,598.71
  6. Step 6: Final answer
    x = 2,047.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.