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Finding the Fourth Proportional to 2,259.84, 3,401.64 and 1,925.76

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Solution

The fourth proportional to 2,259.84, 3,401.64 and 1,925.76 is: 2,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.84 : 3,401.64 = 1,925.76 : x
  2. Step 2: Convert to fraction form
    2,259.84/3,401.64 = 1,925.76/x
  3. Step 3: Cross multiply
    2,259.84x = 3,401.64 × 1,925.76
  4. Step 4: Simplify right side
    2,259.84x = 6,550,742.25
  5. Step 5: Solve for x
    x = 6,550,742.25/2,259.84
  6. Step 6: Final answer
    x = 2,898.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.