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Finding the Fourth Proportional to 1,573.90, 2,343.05 and 1,565.74

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Solution

The fourth proportional to 1,573.90, 2,343.05 and 1,565.74 is: 2,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.90 : 2,343.05 = 1,565.74 : x
  2. Step 2: Convert to fraction form
    1,573.90/2,343.05 = 1,565.74/x
  3. Step 3: Cross multiply
    1,573.90x = 2,343.05 × 1,565.74
  4. Step 4: Simplify right side
    1,573.90x = 3,668,607.11
  5. Step 5: Solve for x
    x = 3,668,607.11/1,573.90
  6. Step 6: Final answer
    x = 2,330.90

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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.