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Finding the Fourth Proportional to 2,386.48, 3,580.80 and 1,289.56

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Solution

The fourth proportional to 2,386.48, 3,580.80 and 1,289.56 is: 1,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.48 : 3,580.80 = 1,289.56 : x
  2. Step 2: Convert to fraction form
    2,386.48/3,580.80 = 1,289.56/x
  3. Step 3: Cross multiply
    2,386.48x = 3,580.80 × 1,289.56
  4. Step 4: Simplify right side
    2,386.48x = 4,617,656.09
  5. Step 5: Solve for x
    x = 4,617,656.09/2,386.48
  6. Step 6: Final answer
    x = 1,934.92

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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.