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Finding the Fourth Proportional to 2,992.64, 4,490.04 and 1,045.13

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Solution

The fourth proportional to 2,992.64, 4,490.04 and 1,045.13 is: 1,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.64 : 4,490.04 = 1,045.13 : x
  2. Step 2: Convert to fraction form
    2,992.64/4,490.04 = 1,045.13/x
  3. Step 3: Cross multiply
    2,992.64x = 4,490.04 × 1,045.13
  4. Step 4: Simplify right side
    2,992.64x = 4,692,675.51
  5. Step 5: Solve for x
    x = 4,692,675.51/2,992.64
  6. Step 6: Final answer
    x = 1,568.07

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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.