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Finding the Fourth Proportional to 1,784.37, 2,461.79 and 1,038.15

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Solution

The fourth proportional to 1,784.37, 2,461.79 and 1,038.15 is: 1,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.37 : 2,461.79 = 1,038.15 : x
  2. Step 2: Convert to fraction form
    1,784.37/2,461.79 = 1,038.15/x
  3. Step 3: Cross multiply
    1,784.37x = 2,461.79 × 1,038.15
  4. Step 4: Simplify right side
    1,784.37x = 2,555,707.29
  5. Step 5: Solve for x
    x = 2,555,707.29/1,784.37
  6. Step 6: Final answer
    x = 1,432.28

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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.