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Finding the Fourth Proportional to 1,531.84, 2,286.65 and 1,417.63

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Solution

The fourth proportional to 1,531.84, 2,286.65 and 1,417.63 is: 2,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.84 : 2,286.65 = 1,417.63 : x
  2. Step 2: Convert to fraction form
    1,531.84/2,286.65 = 1,417.63/x
  3. Step 3: Cross multiply
    1,531.84x = 2,286.65 × 1,417.63
  4. Step 4: Simplify right side
    1,531.84x = 3,241,623.64
  5. Step 5: Solve for x
    x = 3,241,623.64/1,531.84
  6. Step 6: Final answer
    x = 2,116.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.