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Finding the Fourth Proportional to 1,419.13, 2,128.91 and 597.63

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Solution

The fourth proportional to 1,419.13, 2,128.91 and 597.63 is: 896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.13 : 2,128.91 = 597.63 : x
  2. Step 2: Convert to fraction form
    1,419.13/2,128.91 = 597.63/x
  3. Step 3: Cross multiply
    1,419.13x = 2,128.91 × 597.63
  4. Step 4: Simplify right side
    1,419.13x = 1,272,307.30
  5. Step 5: Solve for x
    x = 1,272,307.30/1,419.13
  6. Step 6: Final answer
    x = 896.54

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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.