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Finding the Fourth Proportional to 1,661.76, 2,492.64 and 507.51

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Solution

The fourth proportional to 1,661.76, 2,492.64 and 507.51 is: 761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.76 : 2,492.64 = 507.51 : x
  2. Step 2: Convert to fraction form
    1,661.76/2,492.64 = 507.51/x
  3. Step 3: Cross multiply
    1,661.76x = 2,492.64 × 507.51
  4. Step 4: Simplify right side
    1,661.76x = 1,265,039.73
  5. Step 5: Solve for x
    x = 1,265,039.73/1,661.76
  6. Step 6: Final answer
    x = 761.27

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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.