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Finding the Fourth Proportional to 1,731.95, 2,585.36 and 1,603.47

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Solution

The fourth proportional to 1,731.95, 2,585.36 and 1,603.47 is: 2,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.95 : 2,585.36 = 1,603.47 : x
  2. Step 2: Convert to fraction form
    1,731.95/2,585.36 = 1,603.47/x
  3. Step 3: Cross multiply
    1,731.95x = 2,585.36 × 1,603.47
  4. Step 4: Simplify right side
    1,731.95x = 4,145,547.20
  5. Step 5: Solve for x
    x = 4,145,547.20/1,731.95
  6. Step 6: Final answer
    x = 2,393.57

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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.