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Finding the Fourth Proportional to 1,569.78, 2,161.35 and 1,423.98

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Solution

The fourth proportional to 1,569.78, 2,161.35 and 1,423.98 is: 1,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.78 : 2,161.35 = 1,423.98 : x
  2. Step 2: Convert to fraction form
    1,569.78/2,161.35 = 1,423.98/x
  3. Step 3: Cross multiply
    1,569.78x = 2,161.35 × 1,423.98
  4. Step 4: Simplify right side
    1,569.78x = 3,077,719.17
  5. Step 5: Solve for x
    x = 3,077,719.17/1,569.78
  6. Step 6: Final answer
    x = 1,960.61

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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.