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Finding the Fourth Proportional to 2,048.47, 2,827.13 and 1,164.40

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Solution

The fourth proportional to 2,048.47, 2,827.13 and 1,164.40 is: 1,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.47 : 2,827.13 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    2,048.47/2,827.13 = 1,164.40/x
  3. Step 3: Cross multiply
    2,048.47x = 2,827.13 × 1,164.40
  4. Step 4: Simplify right side
    2,048.47x = 3,291,920.75
  5. Step 5: Solve for x
    x = 3,291,920.75/2,048.47
  6. Step 6: Final answer
    x = 1,607.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.