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Finding the Fourth Proportional to 2,894.42, 4,341.62 and 1,045.52

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Solution

The fourth proportional to 2,894.42, 4,341.62 and 1,045.52 is: 1,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.42 : 4,341.62 = 1,045.52 : x
  2. Step 2: Convert to fraction form
    2,894.42/4,341.62 = 1,045.52/x
  3. Step 3: Cross multiply
    2,894.42x = 4,341.62 × 1,045.52
  4. Step 4: Simplify right side
    2,894.42x = 4,539,264.01
  5. Step 5: Solve for x
    x = 4,539,264.01/2,894.42
  6. Step 6: Final answer
    x = 1,568.28

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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.