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Finding the Fourth Proportional to 1,573.16, 2,347.80 and 1,509.58

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Solution

The fourth proportional to 1,573.16, 2,347.80 and 1,509.58 is: 2,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.16 : 2,347.80 = 1,509.58 : x
  2. Step 2: Convert to fraction form
    1,573.16/2,347.80 = 1,509.58/x
  3. Step 3: Cross multiply
    1,573.16x = 2,347.80 × 1,509.58
  4. Step 4: Simplify right side
    1,573.16x = 3,544,191.92
  5. Step 5: Solve for x
    x = 3,544,191.92/1,573.16
  6. Step 6: Final answer
    x = 2,252.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.