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Finding the Fourth Proportional to 1,674.83, 2,510.58 and 578.45

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Solution

The fourth proportional to 1,674.83, 2,510.58 and 578.45 is: 867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.83 : 2,510.58 = 578.45 : x
  2. Step 2: Convert to fraction form
    1,674.83/2,510.58 = 578.45/x
  3. Step 3: Cross multiply
    1,674.83x = 2,510.58 × 578.45
  4. Step 4: Simplify right side
    1,674.83x = 1,452,245.00
  5. Step 5: Solve for x
    x = 1,452,245.00/1,674.83
  6. Step 6: Final answer
    x = 867.10

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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.