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Finding the Fourth Proportional to 2,804.84, 4,206.04 and 955.46

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Solution

The fourth proportional to 2,804.84, 4,206.04 and 955.46 is: 1,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.84 : 4,206.04 = 955.46 : x
  2. Step 2: Convert to fraction form
    2,804.84/4,206.04 = 955.46/x
  3. Step 3: Cross multiply
    2,804.84x = 4,206.04 × 955.46
  4. Step 4: Simplify right side
    2,804.84x = 4,018,702.98
  5. Step 5: Solve for x
    x = 4,018,702.98/2,804.84
  6. Step 6: Final answer
    x = 1,432.77

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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.