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Finding the Fourth Proportional to 2,386.95, 3,580.49 and 926.43

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Solution

The fourth proportional to 2,386.95, 3,580.49 and 926.43 is: 1,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.95 : 3,580.49 = 926.43 : x
  2. Step 2: Convert to fraction form
    2,386.95/3,580.49 = 926.43/x
  3. Step 3: Cross multiply
    2,386.95x = 3,580.49 × 926.43
  4. Step 4: Simplify right side
    2,386.95x = 3,317,068.72
  5. Step 5: Solve for x
    x = 3,317,068.72/2,386.95
  6. Step 6: Final answer
    x = 1,389.67

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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.