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Finding the Fourth Proportional to 1,585.07, 2,187.47 and 876.91

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Solution

The fourth proportional to 1,585.07, 2,187.47 and 876.91 is: 1,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.07 : 2,187.47 = 876.91 : x
  2. Step 2: Convert to fraction form
    1,585.07/2,187.47 = 876.91/x
  3. Step 3: Cross multiply
    1,585.07x = 2,187.47 × 876.91
  4. Step 4: Simplify right side
    1,585.07x = 1,918,199.00
  5. Step 5: Solve for x
    x = 1,918,199.00/1,585.07
  6. Step 6: Final answer
    x = 1,210.17

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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.