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Finding the Fourth Proportional to 2,457.01, 3,390.83 and 1,409.41

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Solution

The fourth proportional to 2,457.01, 3,390.83 and 1,409.41 is: 1,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.01 : 3,390.83 = 1,409.41 : x
  2. Step 2: Convert to fraction form
    2,457.01/3,390.83 = 1,409.41/x
  3. Step 3: Cross multiply
    2,457.01x = 3,390.83 × 1,409.41
  4. Step 4: Simplify right side
    2,457.01x = 4,779,069.71
  5. Step 5: Solve for x
    x = 4,779,069.71/2,457.01
  6. Step 6: Final answer
    x = 1,945.08

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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.