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Finding the Fourth Proportional to 1,820.64, 2,509.14 and 1,488

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Solution

The fourth proportional to 1,820.64, 2,509.14 and 1,488 is: 2,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.64 : 2,509.14 = 1,488 : x
  2. Step 2: Convert to fraction form
    1,820.64/2,509.14 = 1,488/x
  3. Step 3: Cross multiply
    1,820.64x = 2,509.14 × 1,488
  4. Step 4: Simplify right side
    1,820.64x = 3,733,600.32
  5. Step 5: Solve for x
    x = 3,733,600.32/1,820.64
  6. Step 6: Final answer
    x = 2,050.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.