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Finding the Fourth Proportional to 1,784.34, 2,460.42 and 1,225.08

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Solution

The fourth proportional to 1,784.34, 2,460.42 and 1,225.08 is: 1,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.34 : 2,460.42 = 1,225.08 : x
  2. Step 2: Convert to fraction form
    1,784.34/2,460.42 = 1,225.08/x
  3. Step 3: Cross multiply
    1,784.34x = 2,460.42 × 1,225.08
  4. Step 4: Simplify right side
    1,784.34x = 3,014,211.33
  5. Step 5: Solve for x
    x = 3,014,211.33/1,784.34
  6. Step 6: Final answer
    x = 1,689.26

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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.