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Finding the Fourth Proportional to 1,602.54, 2,210.36 and 1,041.97

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Solution

The fourth proportional to 1,602.54, 2,210.36 and 1,041.97 is: 1,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.54 : 2,210.36 = 1,041.97 : x
  2. Step 2: Convert to fraction form
    1,602.54/2,210.36 = 1,041.97/x
  3. Step 3: Cross multiply
    1,602.54x = 2,210.36 × 1,041.97
  4. Step 4: Simplify right side
    1,602.54x = 2,303,128.81
  5. Step 5: Solve for x
    x = 2,303,128.81/1,602.54
  6. Step 6: Final answer
    x = 1,437.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.