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Finding the Fourth Proportional to 1,703.17, 2,543.80 and 1,457.20

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Solution

The fourth proportional to 1,703.17, 2,543.80 and 1,457.20 is: 2,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.17 : 2,543.80 = 1,457.20 : x
  2. Step 2: Convert to fraction form
    1,703.17/2,543.80 = 1,457.20/x
  3. Step 3: Cross multiply
    1,703.17x = 2,543.80 × 1,457.20
  4. Step 4: Simplify right side
    1,703.17x = 3,706,815.36
  5. Step 5: Solve for x
    x = 3,706,815.36/1,703.17
  6. Step 6: Final answer
    x = 2,176.42

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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.