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Finding the Fourth Proportional to 2,457.54, 3,390.98 and 1,409.40

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Solution

The fourth proportional to 2,457.54, 3,390.98 and 1,409.40 is: 1,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.54 : 3,390.98 = 1,409.40 : x
  2. Step 2: Convert to fraction form
    2,457.54/3,390.98 = 1,409.40/x
  3. Step 3: Cross multiply
    2,457.54x = 3,390.98 × 1,409.40
  4. Step 4: Simplify right side
    2,457.54x = 4,779,247.21
  5. Step 5: Solve for x
    x = 4,779,247.21/2,457.54
  6. Step 6: Final answer
    x = 1,944.73

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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.