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Finding the Fourth Proportional to 2,457.60, 3,389.16 and 1,897.18

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Solution

The fourth proportional to 2,457.60, 3,389.16 and 1,897.18 is: 2,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.60 : 3,389.16 = 1,897.18 : x
  2. Step 2: Convert to fraction form
    2,457.60/3,389.16 = 1,897.18/x
  3. Step 3: Cross multiply
    2,457.60x = 3,389.16 × 1,897.18
  4. Step 4: Simplify right side
    2,457.60x = 6,429,846.57
  5. Step 5: Solve for x
    x = 6,429,846.57/2,457.60
  6. Step 6: Final answer
    x = 2,616.31

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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.