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Finding the Fourth Proportional to 1,782.64, 2,460.32 and 1,120

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Solution

The fourth proportional to 1,782.64, 2,460.32 and 1,120 is: 1,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.64 : 2,460.32 = 1,120 : x
  2. Step 2: Convert to fraction form
    1,782.64/2,460.32 = 1,120/x
  3. Step 3: Cross multiply
    1,782.64x = 2,460.32 × 1,120
  4. Step 4: Simplify right side
    1,782.64x = 2,755,558.40
  5. Step 5: Solve for x
    x = 2,755,558.40/1,782.64
  6. Step 6: Final answer
    x = 1,545.77

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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.