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Finding the Fourth Proportional to 1,423.84, 2,134.86 and 1,058.56

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Solution

The fourth proportional to 1,423.84, 2,134.86 and 1,058.56 is: 1,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.84 : 2,134.86 = 1,058.56 : x
  2. Step 2: Convert to fraction form
    1,423.84/2,134.86 = 1,058.56/x
  3. Step 3: Cross multiply
    1,423.84x = 2,134.86 × 1,058.56
  4. Step 4: Simplify right side
    1,423.84x = 2,259,877.40
  5. Step 5: Solve for x
    x = 2,259,877.40/1,423.84
  6. Step 6: Final answer
    x = 1,587.17

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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.