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Finding the Fourth Proportional to 2,457.84, 3,381.76 and 2,125.20

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Solution

The fourth proportional to 2,457.84, 3,381.76 and 2,125.20 is: 2,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.84 : 3,381.76 = 2,125.20 : x
  2. Step 2: Convert to fraction form
    2,457.84/3,381.76 = 2,125.20/x
  3. Step 3: Cross multiply
    2,457.84x = 3,381.76 × 2,125.20
  4. Step 4: Simplify right side
    2,457.84x = 7,186,916.35
  5. Step 5: Solve for x
    x = 7,186,916.35/2,457.84
  6. Step 6: Final answer
    x = 2,924.08

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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.