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Finding the Fourth Proportional to 1,730.76, 2,386.85 and 1,530.86

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Solution

The fourth proportional to 1,730.76, 2,386.85 and 1,530.86 is: 2,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.76 : 2,386.85 = 1,530.86 : x
  2. Step 2: Convert to fraction form
    1,730.76/2,386.85 = 1,530.86/x
  3. Step 3: Cross multiply
    1,730.76x = 2,386.85 × 1,530.86
  4. Step 4: Simplify right side
    1,730.76x = 3,653,935.47
  5. Step 5: Solve for x
    x = 3,653,935.47/1,730.76
  6. Step 6: Final answer
    x = 2,111.17

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