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Finding the Fourth Proportional to 1,482.88, 2,223.96 and 895.72

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Solution

The fourth proportional to 1,482.88, 2,223.96 and 895.72 is: 1,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.88 : 2,223.96 = 895.72 : x
  2. Step 2: Convert to fraction form
    1,482.88/2,223.96 = 895.72/x
  3. Step 3: Cross multiply
    1,482.88x = 2,223.96 × 895.72
  4. Step 4: Simplify right side
    1,482.88x = 1,992,045.45
  5. Step 5: Solve for x
    x = 1,992,045.45/1,482.88
  6. Step 6: Final answer
    x = 1,343.36

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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.