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Finding the Fourth Proportional to 2,356.74, 3,534.64 and 895.40

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Solution

The fourth proportional to 2,356.74, 3,534.64 and 895.40 is: 1,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.74 : 3,534.64 = 895.40 : x
  2. Step 2: Convert to fraction form
    2,356.74/3,534.64 = 895.40/x
  3. Step 3: Cross multiply
    2,356.74x = 3,534.64 × 895.40
  4. Step 4: Simplify right side
    2,356.74x = 3,164,916.66
  5. Step 5: Solve for x
    x = 3,164,916.66/2,356.74
  6. Step 6: Final answer
    x = 1,342.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.