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Finding the Fourth Proportional to 1,663.41, 2,294.33 and 1,430.13

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Solution

The fourth proportional to 1,663.41, 2,294.33 and 1,430.13 is: 1,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.41 : 2,294.33 = 1,430.13 : x
  2. Step 2: Convert to fraction form
    1,663.41/2,294.33 = 1,430.13/x
  3. Step 3: Cross multiply
    1,663.41x = 2,294.33 × 1,430.13
  4. Step 4: Simplify right side
    1,663.41x = 3,281,190.16
  5. Step 5: Solve for x
    x = 3,281,190.16/1,663.41
  6. Step 6: Final answer
    x = 1,972.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.