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Finding the Fourth Proportional to 1,582.76, 2,184.90 and 1,513.10

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Solution

The fourth proportional to 1,582.76, 2,184.90 and 1,513.10 is: 2,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.76 : 2,184.90 = 1,513.10 : x
  2. Step 2: Convert to fraction form
    1,582.76/2,184.90 = 1,513.10/x
  3. Step 3: Cross multiply
    1,582.76x = 2,184.90 × 1,513.10
  4. Step 4: Simplify right side
    1,582.76x = 3,305,972.19
  5. Step 5: Solve for x
    x = 3,305,972.19/1,582.76
  6. Step 6: Final answer
    x = 2,088.74

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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.