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Finding the Fourth Proportional to 1,779.47, 2,457.03 and 1,385.81

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Solution

The fourth proportional to 1,779.47, 2,457.03 and 1,385.81 is: 1,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.47 : 2,457.03 = 1,385.81 : x
  2. Step 2: Convert to fraction form
    1,779.47/2,457.03 = 1,385.81/x
  3. Step 3: Cross multiply
    1,779.47x = 2,457.03 × 1,385.81
  4. Step 4: Simplify right side
    1,779.47x = 3,404,978.87
  5. Step 5: Solve for x
    x = 3,404,978.87/1,779.47
  6. Step 6: Final answer
    x = 1,913.48

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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.