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Finding the Fourth Proportional to 2,607.84, 3,598.81 and 1,428.91

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Solution

The fourth proportional to 2,607.84, 3,598.81 and 1,428.91 is: 1,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.84 : 3,598.81 = 1,428.91 : x
  2. Step 2: Convert to fraction form
    2,607.84/3,598.81 = 1,428.91/x
  3. Step 3: Cross multiply
    2,607.84x = 3,598.81 × 1,428.91
  4. Step 4: Simplify right side
    2,607.84x = 5,142,363.03
  5. Step 5: Solve for x
    x = 5,142,363.03/2,607.84
  6. Step 6: Final answer
    x = 1,971.89

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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.