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Finding the Fourth Proportional to 1,746.34, 2,408.71 and 1,482.53

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Solution

The fourth proportional to 1,746.34, 2,408.71 and 1,482.53 is: 2,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.34 : 2,408.71 = 1,482.53 : x
  2. Step 2: Convert to fraction form
    1,746.34/2,408.71 = 1,482.53/x
  3. Step 3: Cross multiply
    1,746.34x = 2,408.71 × 1,482.53
  4. Step 4: Simplify right side
    1,746.34x = 3,570,984.84
  5. Step 5: Solve for x
    x = 3,570,984.84/1,746.34
  6. Step 6: Final answer
    x = 2,044.84

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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.