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Finding the Fourth Proportional to 2,357.94, 3,533.94 and 895.35

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Solution

The fourth proportional to 2,357.94, 3,533.94 and 895.35 is: 1,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.94 : 3,533.94 = 895.35 : x
  2. Step 2: Convert to fraction form
    2,357.94/3,533.94 = 895.35/x
  3. Step 3: Cross multiply
    2,357.94x = 3,533.94 × 895.35
  4. Step 4: Simplify right side
    2,357.94x = 3,164,113.18
  5. Step 5: Solve for x
    x = 3,164,113.18/2,357.94
  6. Step 6: Final answer
    x = 1,341.90

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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.