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Finding the Fourth Proportional to 2,403.78, 3,605.70 and 1,430.70

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Solution

The fourth proportional to 2,403.78, 3,605.70 and 1,430.70 is: 2,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.78 : 3,605.70 = 1,430.70 : x
  2. Step 2: Convert to fraction form
    2,403.78/3,605.70 = 1,430.70/x
  3. Step 3: Cross multiply
    2,403.78x = 3,605.70 × 1,430.70
  4. Step 4: Simplify right side
    2,403.78x = 5,158,674.99
  5. Step 5: Solve for x
    x = 5,158,674.99/2,403.78
  6. Step 6: Final answer
    x = 2,146.07

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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.