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Finding the Fourth Proportional to 1,495.89, 2,232.54 and 1,457.01

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Solution

The fourth proportional to 1,495.89, 2,232.54 and 1,457.01 is: 2,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.89 : 2,232.54 = 1,457.01 : x
  2. Step 2: Convert to fraction form
    1,495.89/2,232.54 = 1,457.01/x
  3. Step 3: Cross multiply
    1,495.89x = 2,232.54 × 1,457.01
  4. Step 4: Simplify right side
    1,495.89x = 3,252,833.11
  5. Step 5: Solve for x
    x = 3,252,833.11/1,495.89
  6. Step 6: Final answer
    x = 2,174.51

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Why These Related Problems?

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