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Finding the Fourth Proportional to 1,788.36, 2,484.46 and 1,772.34

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Solution

The fourth proportional to 1,788.36, 2,484.46 and 1,772.34 is: 2,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.36 : 2,484.46 = 1,772.34 : x
  2. Step 2: Convert to fraction form
    1,788.36/2,484.46 = 1,772.34/x
  3. Step 3: Cross multiply
    1,788.36x = 2,484.46 × 1,772.34
  4. Step 4: Simplify right side
    1,788.36x = 4,403,307.84
  5. Step 5: Solve for x
    x = 4,403,307.84/1,788.36
  6. Step 6: Final answer
    x = 2,462.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.