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Finding the Fourth Proportional to 2,335.60, 3,504.51 and 1,457.87

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Solution

The fourth proportional to 2,335.60, 3,504.51 and 1,457.87 is: 2,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.60 : 3,504.51 = 1,457.87 : x
  2. Step 2: Convert to fraction form
    2,335.60/3,504.51 = 1,457.87/x
  3. Step 3: Cross multiply
    2,335.60x = 3,504.51 × 1,457.87
  4. Step 4: Simplify right side
    2,335.60x = 5,109,102.47
  5. Step 5: Solve for x
    x = 5,109,102.47/2,335.60
  6. Step 6: Final answer
    x = 2,187.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.