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Finding the Fourth Proportional to 1,433.84, 2,133.59 and 1,428.98

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Solution

The fourth proportional to 1,433.84, 2,133.59 and 1,428.98 is: 2,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.84 : 2,133.59 = 1,428.98 : x
  2. Step 2: Convert to fraction form
    1,433.84/2,133.59 = 1,428.98/x
  3. Step 3: Cross multiply
    1,433.84x = 2,133.59 × 1,428.98
  4. Step 4: Simplify right side
    1,433.84x = 3,048,839.63
  5. Step 5: Solve for x
    x = 3,048,839.63/1,433.84
  6. Step 6: Final answer
    x = 2,126.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.