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Finding the Fourth Proportional to 2,607.40, 3,598.23 and 1,428.45

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Solution

The fourth proportional to 2,607.40, 3,598.23 and 1,428.45 is: 1,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.40 : 3,598.23 = 1,428.45 : x
  2. Step 2: Convert to fraction form
    2,607.40/3,598.23 = 1,428.45/x
  3. Step 3: Cross multiply
    2,607.40x = 3,598.23 × 1,428.45
  4. Step 4: Simplify right side
    2,607.40x = 5,139,891.64
  5. Step 5: Solve for x
    x = 5,139,891.64/2,607.40
  6. Step 6: Final answer
    x = 1,971.27

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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.