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Finding the Fourth Proportional to 1,649.12, 2,457.02 and 1,570.75

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Solution

The fourth proportional to 1,649.12, 2,457.02 and 1,570.75 is: 2,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.12 : 2,457.02 = 1,570.75 : x
  2. Step 2: Convert to fraction form
    1,649.12/2,457.02 = 1,570.75/x
  3. Step 3: Cross multiply
    1,649.12x = 2,457.02 × 1,570.75
  4. Step 4: Simplify right side
    1,649.12x = 3,859,364.17
  5. Step 5: Solve for x
    x = 3,859,364.17/1,649.12
  6. Step 6: Final answer
    x = 2,340.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.