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Finding the Fourth Proportional to 1,534.91, 2,117.91 and 1,457.07

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Solution

The fourth proportional to 1,534.91, 2,117.91 and 1,457.07 is: 2,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.91 : 2,117.91 = 1,457.07 : x
  2. Step 2: Convert to fraction form
    1,534.91/2,117.91 = 1,457.07/x
  3. Step 3: Cross multiply
    1,534.91x = 2,117.91 × 1,457.07
  4. Step 4: Simplify right side
    1,534.91x = 3,085,943.12
  5. Step 5: Solve for x
    x = 3,085,943.12/1,534.91
  6. Step 6: Final answer
    x = 2,010.51

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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.