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Finding the Fourth Proportional to 1,587.63, 2,369.76 and 1,473.51

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Solution

The fourth proportional to 1,587.63, 2,369.76 and 1,473.51 is: 2,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.63 : 2,369.76 = 1,473.51 : x
  2. Step 2: Convert to fraction form
    1,587.63/2,369.76 = 1,473.51/x
  3. Step 3: Cross multiply
    1,587.63x = 2,369.76 × 1,473.51
  4. Step 4: Simplify right side
    1,587.63x = 3,491,865.06
  5. Step 5: Solve for x
    x = 3,491,865.06/1,587.63
  6. Step 6: Final answer
    x = 2,199.42

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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.