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Finding the Fourth Proportional to 2,430.78, 3,645.76 and 699

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Solution

The fourth proportional to 2,430.78, 3,645.76 and 699 is: 1,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.78 : 3,645.76 = 699 : x
  2. Step 2: Convert to fraction form
    2,430.78/3,645.76 = 699/x
  3. Step 3: Cross multiply
    2,430.78x = 3,645.76 × 699
  4. Step 4: Simplify right side
    2,430.78x = 2,548,386.24
  5. Step 5: Solve for x
    x = 2,548,386.24/2,430.78
  6. Step 6: Final answer
    x = 1,048.38

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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.