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Finding the Fourth Proportional to 2,071.93, 2,859.47 and 1,547.05

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Solution

The fourth proportional to 2,071.93, 2,859.47 and 1,547.05 is: 2,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.93 : 2,859.47 = 1,547.05 : x
  2. Step 2: Convert to fraction form
    2,071.93/2,859.47 = 1,547.05/x
  3. Step 3: Cross multiply
    2,071.93x = 2,859.47 × 1,547.05
  4. Step 4: Simplify right side
    2,071.93x = 4,423,743.06
  5. Step 5: Solve for x
    x = 4,423,743.06/2,071.93
  6. Step 6: Final answer
    x = 2,135.08

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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.