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Finding the Fourth Proportional to 2,370, 3,555.48 and 1,002

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Solution

The fourth proportional to 2,370, 3,555.48 and 1,002 is: 1,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370 : 3,555.48 = 1,002 : x
  2. Step 2: Convert to fraction form
    2,370/3,555.48 = 1,002/x
  3. Step 3: Cross multiply
    2,370x = 3,555.48 × 1,002
  4. Step 4: Simplify right side
    2,370x = 3,562,590.96
  5. Step 5: Solve for x
    x = 3,562,590.96/2,370
  6. Step 6: Final answer
    x = 1,503.20

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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.