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Finding the Fourth Proportional to 2,088.68, 2,870.60 and 2,030.36

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Solution

The fourth proportional to 2,088.68, 2,870.60 and 2,030.36 is: 2,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.68 : 2,870.60 = 2,030.36 : x
  2. Step 2: Convert to fraction form
    2,088.68/2,870.60 = 2,030.36/x
  3. Step 3: Cross multiply
    2,088.68x = 2,870.60 × 2,030.36
  4. Step 4: Simplify right side
    2,088.68x = 5,828,351.42
  5. Step 5: Solve for x
    x = 5,828,351.42/2,088.68
  6. Step 6: Final answer
    x = 2,790.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.