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Finding the Fourth Proportional to 1,591.36, 2,376 and 1,492.94

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Solution

The fourth proportional to 1,591.36, 2,376 and 1,492.94 is: 2,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.36 : 2,376 = 1,492.94 : x
  2. Step 2: Convert to fraction form
    1,591.36/2,376 = 1,492.94/x
  3. Step 3: Cross multiply
    1,591.36x = 2,376 × 1,492.94
  4. Step 4: Simplify right side
    1,591.36x = 3,547,231.38
  5. Step 5: Solve for x
    x = 3,547,231.38/1,591.36
  6. Step 6: Final answer
    x = 2,229.06

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Why These Related Problems?

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