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Finding the Fourth Proportional to 1,442.48, 2,164.44 and 895.04

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Solution

The fourth proportional to 1,442.48, 2,164.44 and 895.04 is: 1,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.48 : 2,164.44 = 895.04 : x
  2. Step 2: Convert to fraction form
    1,442.48/2,164.44 = 895.04/x
  3. Step 3: Cross multiply
    1,442.48x = 2,164.44 × 895.04
  4. Step 4: Simplify right side
    1,442.48x = 1,937,260.38
  5. Step 5: Solve for x
    x = 1,937,260.38/1,442.48
  6. Step 6: Final answer
    x = 1,343.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.