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Finding the Fourth Proportional to 1,655.03, 2,470.70 and 1,597.32

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Solution

The fourth proportional to 1,655.03, 2,470.70 and 1,597.32 is: 2,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.03 : 2,470.70 = 1,597.32 : x
  2. Step 2: Convert to fraction form
    1,655.03/2,470.70 = 1,597.32/x
  3. Step 3: Cross multiply
    1,655.03x = 2,470.70 × 1,597.32
  4. Step 4: Simplify right side
    1,655.03x = 3,946,498.52
  5. Step 5: Solve for x
    x = 3,946,498.52/1,655.03
  6. Step 6: Final answer
    x = 2,384.55

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