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Finding the Fourth Proportional to 1,830.46, 2,746.26 and 597.88

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Solution

The fourth proportional to 1,830.46, 2,746.26 and 597.88 is: 897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.46 : 2,746.26 = 597.88 : x
  2. Step 2: Convert to fraction form
    1,830.46/2,746.26 = 597.88/x
  3. Step 3: Cross multiply
    1,830.46x = 2,746.26 × 597.88
  4. Step 4: Simplify right side
    1,830.46x = 1,641,933.93
  5. Step 5: Solve for x
    x = 1,641,933.93/1,830.46
  6. Step 6: Final answer
    x = 897.01

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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.