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Finding the Fourth Proportional to 1,569.45, 2,354.18 and 1,484.40

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Solution

The fourth proportional to 1,569.45, 2,354.18 and 1,484.40 is: 2,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.45 : 2,354.18 = 1,484.40 : x
  2. Step 2: Convert to fraction form
    1,569.45/2,354.18 = 1,484.40/x
  3. Step 3: Cross multiply
    1,569.45x = 2,354.18 × 1,484.40
  4. Step 4: Simplify right side
    1,569.45x = 3,494,537.37
  5. Step 5: Solve for x
    x = 3,494,537.37/1,569.45
  6. Step 6: Final answer
    x = 2,226.60

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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.