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Finding the Fourth Proportional to 2,521.76, 3,480 and 1,402.74

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Solution

The fourth proportional to 2,521.76, 3,480 and 1,402.74 is: 1,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.76 : 3,480 = 1,402.74 : x
  2. Step 2: Convert to fraction form
    2,521.76/3,480 = 1,402.74/x
  3. Step 3: Cross multiply
    2,521.76x = 3,480 × 1,402.74
  4. Step 4: Simplify right side
    2,521.76x = 4,881,535.20
  5. Step 5: Solve for x
    x = 4,881,535.20/2,521.76
  6. Step 6: Final answer
    x = 1,935.77

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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.