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Finding the Fourth Proportional to 1,875.90, 2,588.72 and 1,036.66

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Solution

The fourth proportional to 1,875.90, 2,588.72 and 1,036.66 is: 1,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.90 : 2,588.72 = 1,036.66 : x
  2. Step 2: Convert to fraction form
    1,875.90/2,588.72 = 1,036.66/x
  3. Step 3: Cross multiply
    1,875.90x = 2,588.72 × 1,036.66
  4. Step 4: Simplify right side
    1,875.90x = 2,683,609.53
  5. Step 5: Solve for x
    x = 2,683,609.53/1,875.90
  6. Step 6: Final answer
    x = 1,430.57

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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.