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Finding the Fourth Proportional to 2,030.62, 3,045.93 and 1,598.08

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Solution

The fourth proportional to 2,030.62, 3,045.93 and 1,598.08 is: 2,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.62 : 3,045.93 = 1,598.08 : x
  2. Step 2: Convert to fraction form
    2,030.62/3,045.93 = 1,598.08/x
  3. Step 3: Cross multiply
    2,030.62x = 3,045.93 × 1,598.08
  4. Step 4: Simplify right side
    2,030.62x = 4,867,639.81
  5. Step 5: Solve for x
    x = 4,867,639.81/2,030.62
  6. Step 6: Final answer
    x = 2,397.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.