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Finding the Fourth Proportional to 2,669.85, 4,007.73 and 1,575

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Solution

The fourth proportional to 2,669.85, 4,007.73 and 1,575 is: 2,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.85 : 4,007.73 = 1,575 : x
  2. Step 2: Convert to fraction form
    2,669.85/4,007.73 = 1,575/x
  3. Step 3: Cross multiply
    2,669.85x = 4,007.73 × 1,575
  4. Step 4: Simplify right side
    2,669.85x = 6,312,174.75
  5. Step 5: Solve for x
    x = 6,312,174.75/2,669.85
  6. Step 6: Final answer
    x = 2,364.24

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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.