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Finding the Fourth Proportional to 1,564.98, 2,148.17 and 1,383.98

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Solution

The fourth proportional to 1,564.98, 2,148.17 and 1,383.98 is: 1,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.98 : 2,148.17 = 1,383.98 : x
  2. Step 2: Convert to fraction form
    1,564.98/2,148.17 = 1,383.98/x
  3. Step 3: Cross multiply
    1,564.98x = 2,148.17 × 1,383.98
  4. Step 4: Simplify right side
    1,564.98x = 2,973,024.32
  5. Step 5: Solve for x
    x = 2,973,024.32/1,564.98
  6. Step 6: Final answer
    x = 1,899.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.