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Finding the Fourth Proportional to 1,830.87, 2,746.59 and 597.99

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Solution

The fourth proportional to 1,830.87, 2,746.59 and 597.99 is: 897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.87 : 2,746.59 = 597.99 : x
  2. Step 2: Convert to fraction form
    1,830.87/2,746.59 = 597.99/x
  3. Step 3: Cross multiply
    1,830.87x = 2,746.59 × 597.99
  4. Step 4: Simplify right side
    1,830.87x = 1,642,433.35
  5. Step 5: Solve for x
    x = 1,642,433.35/1,830.87
  6. Step 6: Final answer
    x = 897.08

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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.