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Finding the Fourth Proportional to 1,430.71, 2,146.22 and 609.07

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Solution

The fourth proportional to 1,430.71, 2,146.22 and 609.07 is: 913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.71 : 2,146.22 = 609.07 : x
  2. Step 2: Convert to fraction form
    1,430.71/2,146.22 = 609.07/x
  3. Step 3: Cross multiply
    1,430.71x = 2,146.22 × 609.07
  4. Step 4: Simplify right side
    1,430.71x = 1,307,197.83
  5. Step 5: Solve for x
    x = 1,307,197.83/1,430.71
  6. Step 6: Final answer
    x = 913.67

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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.