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Finding the Fourth Proportional to 1,748.94, 2,411.55 and 1,305.42

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Solution

The fourth proportional to 1,748.94, 2,411.55 and 1,305.42 is: 1,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.94 : 2,411.55 = 1,305.42 : x
  2. Step 2: Convert to fraction form
    1,748.94/2,411.55 = 1,305.42/x
  3. Step 3: Cross multiply
    1,748.94x = 2,411.55 × 1,305.42
  4. Step 4: Simplify right side
    1,748.94x = 3,148,085.60
  5. Step 5: Solve for x
    x = 3,148,085.60/1,748.94
  6. Step 6: Final answer
    x = 1,800.00

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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.