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Finding the Fourth Proportional to 1,477.22, 2,038.33 and 946.58

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Solution

The fourth proportional to 1,477.22, 2,038.33 and 946.58 is: 1,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.22 : 2,038.33 = 946.58 : x
  2. Step 2: Convert to fraction form
    1,477.22/2,038.33 = 946.58/x
  3. Step 3: Cross multiply
    1,477.22x = 2,038.33 × 946.58
  4. Step 4: Simplify right side
    1,477.22x = 1,929,429.85
  5. Step 5: Solve for x
    x = 1,929,429.85/1,477.22
  6. Step 6: Final answer
    x = 1,306.12

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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.